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0707.3430
Micha{\l} Stukow
Michal Stukow
Commensurability of geometric subgroups of mapping class groups
null
Geometriae Dedicata 143 (2009), 117-142
10.1007/s10711-009-9377-y
null
math.GT math.GR
null
Let M be a surface (possibly nonorientable) with punctures and/or boundary components. The paper is a study of ``geometric subgroups'' of the mapping class group of M, that is subgroups corresponding to inclusions of subsurfaces (possibly disconnected). We characterise the subsurfaces which lead to virtually abelian geometric subgroups. We provide algebraic and geometric conditions under which two geometric subgroups are commensurable. We also describe the commensurator of a geometric subgroup in terms of the stabiliser of the underlying subsurface. Finally, we show some applications of our analysis to the theory of irreducible unitary representations of mapping class groups.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 18:24:22 GMT" } ]
2014-02-18T00:00:00
[ [ "Stukow", "Michal", "" ] ]
0707.3431
Jens Anders Gesser
J. Ambjorn and J. A. Gesser
The nature of ZZ branes
10 pages, footnote added
Phys.Lett.B659:718-722,2008
10.1016/j.physletb.2007.12.003
null
hep-th
null
In minimal non-critical string theory we show that the principal (r,s) ZZ brane can be viewed as the basic (1,1) ZZ boundary state tensored with the (r,s) Cardy boundary state. In this sense there exists only one ZZ boundary state, the basic (1,1) boundary state.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 18:26:18 GMT" }, { "version": "v2", "created": "Tue, 4 Dec 2007 19:49:44 GMT" } ]
2008-11-26T00:00:00
[ [ "Ambjorn", "J.", "" ], [ "Gesser", "J. A.", "" ] ]
0707.3432
Gudlaugur J\'ohannesson
Gu{\dh}laugur J\'ohannesson, Gunnlaugur Bj\"ornsson, and Einar H. Gudmundsson
Luminosity Functions of Gamma-Ray Burst Afterglows
5 pages, 4 figures; accepted for publication in A&A
null
10.1051/0004-6361:20078028
null
astro-ph
null
Aims: Use the standard fireball model to create virtual populations of gamma-ray burst afterglows and study their luminosity functions. Methods: We randomly vary the parameters of the standard fireball model to create virtual populations of afterglows. We use the luminosity of each burst at an observer's time of 1 day to create a luminosity function and compare our results with available observational data to assess the internal consistency of the standard fireball model. Results: We show that the luminosity functions can be described by a function similar to a log normal distribution with an exponential cutoff. The function parameters are frequency dependent but not very dependent on the model parameter distributions used to create the virtual populations. Comparison with observations shows that while there is good general agreement with the data, it is difficult to explain simultaneously the X-ray and optical data. Possible reasons for this are discussed and the most likely one is that the standard fireball model is incomplete and that decoupling of the X-ray and optical emission mechanism may be needed.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 18:40:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Jóhannesson", "Guðlaugur", "" ], [ "Björnsson", "Gunnlaugur", "" ], [ "Gudmundsson", "Einar H.", "" ] ]
0707.3433
Odesskii Alexander
E. V. Ferapontov and A. V. Odesskii
Integrable Lagrangians and modular forms
17 pages, latex
null
null
null
nlin.SI hep-th math.AG math.DG math.NT
null
We investigate non-degenerate Lagrangians of the form $$ \int f(u_x, u_y, u_t) dx dy dt $$ such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})_t=0 $ are integrable by the method of hydrodynamic reductions. We demonstrate that the integrability conditions, which constitute an involutive over-determined system of fourth order PDEs for the Lagrangian density f, are invariant under a 20-parameter group of Lie-point symmetries whose action on the moduli space of integrable Lagrangians has an open orbit. The density of the `master-Lagrangian' corresponding to this orbit is shown to be a modular form in three variables defined on a complex hyperbolic ball. We demonstrate how the knowledge of the symmetry group allows one to linearise the integrability conditions.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 18:52:21 GMT" }, { "version": "v2", "created": "Wed, 28 Nov 2007 16:27:39 GMT" } ]
2007-11-28T00:00:00
[ [ "Ferapontov", "E. V.", "" ], [ "Odesskii", "A. V.", "" ] ]
0707.3434
Steven J. van Enk
S.J. van Enk and G. Nienhuis
Photons in polychromatic rotating modes
enormously expanded: 12 pages, 3 figures; a new, more informative, but less elegant title, especially designed for Phys. Rev. A
Phys. Rev. A 76, 053825 (2007)
10.1103/PhysRevA.76.053825
null
quant-ph
null
We propose a quantum theory of rotating light beams and study some of its properties. Such beams are polychromatic and have either a slowly rotating polarization or a slowly rotating transverse mode pattern. We show there are, for both cases, three different natural types of modes that qualify as rotating, one of which is a new type not previously considered. We discuss differences between these three types of rotating modes on the one hand and non-rotating modes as viewed from a rotating frame of reference on the other. We present various examples illustrating the possible use of rotating photons, mostly for quantum information processing purposes. We introduce in this context a rotating version of the two-photon singlet state.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 18:47:40 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 21:58:11 GMT" }, { "version": "v3", "created": "Tue, 18 Sep 2007 21:45:04 GMT" } ]
2009-11-13T00:00:00
[ [ "van Enk", "S. J.", "" ], [ "Nienhuis", "G.", "" ] ]
0707.3435
Joseph Y. Halpern
Joseph Y. Halpern and Sabina Petride
A Knowledge-Based Analysis of Global Function Computation
null
null
null
null
cs.DC cs.LO
null
Consider a distributed system N in which each agent has an input value and each communication link has a weight. Given a global function, that is, a function f whose value depends on the whole network, the goal is for every agent to eventually compute the value f(N). We call this problem global function computation. Various solutions for instances of this problem, such as Boolean function computation, leader election, (minimum) spanning tree construction, and network determination, have been proposed, each under particular assumptions about what processors know about the system and how this knowledge can be acquired. We give a necessary and sufficient condition for the problem to be solvable that generalizes a number of well-known results. We then provide a knowledge-based (kb) program (like those of Fagin, Halpern, Moses, and Vardi) that solves global function computation whenever possible. Finally, we improve the message overhead inherent in our initial kb program by giving a counterfactual belief-based program that also solves the global function computation whenever possible, but where agents send messages only when they believe it is necessary to do so. The latter program is shown to be implemented by a number of well-known algorithms for solving leader election.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 18:49:28 GMT" } ]
2007-08-08T00:00:00
[ [ "Halpern", "Joseph Y.", "" ], [ "Petride", "Sabina", "" ] ]
0707.3436
Luis Ho
Luis C. Ho (The Observatories of the Carnegie Institution of Washington)
The CO Tully-Fisher Relation and Implications for the Host Galaxies of High-Redshift Quasars
To appear in ApJ; 10 pages
null
10.1086/521917
null
astro-ph
null
The integrated line width derived from CO spectroscopy provides a powerful tool to study the internal kinematics of extragalactic objects, including quasars at high redshift, provided that the observed line width can be properly translated to more conventionally used kinematical parameters of galaxies. We show, through construction of a K-band CO Tully-Fisher relation for nearby galaxies spanning a wide range in infrared luminosity, that the CO line width measured at 20% of the peak intensity, when corrected for inclination and other effects, successfully recovers the maximum rotation velocity of the disk. The line width at 50% of the peak intensity performs much more poorly, in large part because CO lines have a wide range of profiles, which are shown to vary systematically with infrared luminosity. We present a practical prescription for converting observed CO line widths into the stellar velocity dispersion of the bulge (sigma), and then apply it to a sample of low-redshift (z < 0.2) and high-redshift (1.4 < z < 6.4) quasars to study their host galaxies. Nearby quasars roughly fall on the correlation between black hole mass and bulge stellar velocity dispersion established for inactive galaxies, but the host galaxies of the high-z quasars systematically deviate from the local M_BH-sigma relation. At a given sigma, high-z quasars have black hole masses larger by a factor of 4 relative to local galaxies, suggesting that early in the life-cycle of galaxies the development of the bulge lags behind the growth of the central black hole. An alternative explanation for these observations, which currently cannot be ruled out rigorously, is that high-redshift quasars are preferentially viewed at face-on orientations.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 14:07:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Ho", "Luis C.", "", "The Observatories of the Carnegie Institution of\n Washington" ] ]
0707.3437
Xi Yin
Davide Gaiotto, Xi Yin
Genus Two Partition Functions of Extremal Conformal Field Theories
14 pages
JHEP 0708:029,2007
10.1088/1126-6708/2007/08/029
null
hep-th
null
Recently Witten conjectured the existence of a family of "extremal" conformal field theories (ECFTs) of central charge c=24k, which are supposed to be dual to three-dimensional pure quantum gravity in AdS3. Assuming their existence, we determine explicitly the genus two partition functions of k=2 and k=3 ECFTs, using modular invariance and the behavior of the partition function in degenerating limits of the Riemann surface. The result passes highly nontrivial tests and in particular provides a piece of evidence for the existence of the k=3 ECFT. We also argue that the genus two partition function of ECFTs with k<11 are uniquely fixed (if they exist).
[ { "version": "v1", "created": "Mon, 23 Jul 2007 19:07:21 GMT" } ]
2009-11-18T00:00:00
[ [ "Gaiotto", "Davide", "" ], [ "Yin", "Xi", "" ] ]
0707.3438
Emiliano De Simone
E. De Simone, A. Kupiainen
KAM Theorem and Renormalization Group
17 pages, no figures
null
null
null
math-ph math.MP
null
We give an elementary proof of the analytic KAM theorem by reducing it to a Picard iteration of a PDE with quadratic nonlinearity, the so called Polchinski renormalization group equation studied in quantum field theory.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 19:37:58 GMT" } ]
2007-07-24T00:00:00
[ [ "De Simone", "E.", "" ], [ "Kupiainen", "A.", "" ] ]
0707.3439
Vincenzo Cirigliano
Vincenzo Cirigliano and Ignasi Rosell
The Standard Model prediction for R_{e/mu}^{(pi,K)}
4 pages, 1 figure, 2 tables
Phys.Rev.Lett.99:231801,2007
10.1103/PhysRevLett.99.231801
LAUR-07-3194
hep-ph
null
We study the ratios R_{e/mu}^{(P)} = Gamma(P -> e nu [gamma])/Gamma(P -> mu nu [gamma]) (P=pi,K) in Chiral Perturbation Theory to order e^2 p^4. We complement the two-loop effective theory results with a matching calculation of the counterterm, finding R_{e/mu}^{(pi)} = (1.2352 \pm 0.0001)*10^(-4) and R_{e/mu}^{(K)} = (2.477 \pm 0.001)*10^(-5).
[ { "version": "v1", "created": "Mon, 23 Jul 2007 19:43:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Cirigliano", "Vincenzo", "" ], [ "Rosell", "Ignasi", "" ] ]
0707.3440
Justin Howell
Justin H. Howell, Joseph M. Mazzarella, Ben H. P. Chan, Steven Lord, Jason A. Surace, David T. Frayer, P. N. Appleton, Lee Armus, Aaron S. Evans, Greg Bothun, Catherine M. Ishida, Dong-Chan Kim, Joseph B. Jensen, Barry F. Madore, David B. Sanders, Bernhard Schulz, Tatjana Vavilkin, Sylvain Veilleux, and Kevin Xu
Tracing PAHs and Warm Dust Emission in the Seyfert Galaxy NGC 1068
20 pages, 11 figures; AJ, accepted; full resolution version available at http://spider.ipac.caltech.edu/staff/jhhowell/astro/howelln1068.pdf
Astron.J.134:2086-2097,2007
10.1086/521821
null
astro-ph
null
We present a study of the nearby Seyfert galaxy NGC 1068 using mid- and far- infrared data acquired with the IRAC, IRS, and MIPS instruments aboard the Spitzer Space Telescope. The images show extensive 8 um and 24 um emission coinciding with star formation in the inner spiral approximately 15" (1 kpc) from the nucleus, and a bright complex of star formation 47" (3 kpc) SW of the nucleus. The brightest 8 um PAH emission regions coincide remarkably well with knots observed in an Halpha image. Strong PAH features at 6.2, 7.7, 8.6, and 11.3 um are detected in IRS spectra measured at numerous locations inside, within, and outside the inner spiral. The IRAC colors and IRS spectra of these regions rule out dust heated by the AGN as the primary emission source; the SEDs are dominated by starlight and PAH emission. The equivalent widths and flux ratios of the PAH features in the inner spiral are generally consistent with conditions in a typical spiral galaxy ISM. Interior to the inner spiral, the influence of the AGN on the ISM is evident via PAH flux ratios indicative of a higher ionization parameter and a significantly smaller mean equivalent width than observed in the inner spiral. The brightest 8 and 24 um emission peaks in the disk of the galaxy, even at distances beyond the inner spiral, are located within the ionization cones traced by [O III]/Hbeta, and they are also remarkably well aligned with the axis of the radio jets. Although it is possible that radiation from the AGN may directly enhance PAH excitation or trigger the formation of OB stars that subsequently excite PAH emission at these locations in the inner spiral, the orientation of collimated radiation from the AGN and star formation knots in the inner spiral could be coincidental. (abridged)
[ { "version": "v1", "created": "Mon, 23 Jul 2007 19:48:17 GMT" } ]
2010-11-11T00:00:00
[ [ "Howell", "Justin H.", "" ], [ "Mazzarella", "Joseph M.", "" ], [ "Chan", "Ben H. P.", "" ], [ "Lord", "Steven", "" ], [ "Surace", "Jason A.", "" ], [ "Frayer", "David T.", "" ], [ "Appleton", "P. N.", "" ], [ "Armus", "Lee", "" ], [ "Evans", "Aaron S.", "" ], [ "Bothun", "Greg", "" ], [ "Ishida", "Catherine M.", "" ], [ "Kim", "Dong-Chan", "" ], [ "Jensen", "Joseph B.", "" ], [ "Madore", "Barry F.", "" ], [ "Sanders", "David B.", "" ], [ "Schulz", "Bernhard", "" ], [ "Vavilkin", "Tatjana", "" ], [ "Veilleux", "Sylvain", "" ], [ "Xu", "Kevin", "" ] ]
0707.3441
Alexandre Oliveira
A. S. Oliveira, J. E. Steiner
CAL 87 - an evolved wind-driven supersoft X-ray binary
Four pages, accepted to be published as a Letter in A&A
null
10.1051/0004-6361:20077971
null
astro-ph
null
Compact binary supersoft X-ray sources (CBSS) are explained as being associated with hydrostatic nuclear burning on the surface of a white dwarf with high accretion rate. This high mass transfer rate has been suggested to be caused by dynamical instability, expected when the donor star is more massive than the accreting object. When the orbital period is smaller than ~6 hours, this mechanism does not work and the CBSS with such periods are believed to be fed by a distinct mechanism: the wind-driven accretion. Such a mechanism has been proposed to explain the properties of objects like SMC 13, T Pyx and V617 Sgr. One observational property that offers a critical test for discriminating between the above two possibilities is the orbital period change. As systems with wind-driven accretion evolve with increasing periods, some of them may reach quite long orbital periods. The above critical test may, therefore, also be applied to orbital periods longer than 6 hours. CAL 87 is an eclipsing system in the LMC with an orbital period of 10.6 hours that could provide the opportunity for testing the hypothesis of the system being powered by wind-driven accretion. We obtained eclipse timings for this system and show that its orbital period increases with a rate of P/Pdot = +7.2(+/-1.3) X 10^{6} years. Contrary to the common belief, we conclude that CAL 87 is the first confirmed case of a wind-driven CBSS with an orbital period longer than 6 hours. The system is probably an evolved object that had an initial secondary mass of M2i=0.63 solar masses but is currently reduced to about M2=0.34 solar masses. We discuss evidence that other CBSS, like CAL 83 and V Sge stars, like WX Cen, are probably also wind-driven systems. This may in fact be the rule, and systems with inverted mass ratio, the exception.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 19:48:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Oliveira", "A. S.", "" ], [ "Steiner", "J. E.", "" ] ]
0707.3442
Peter Waddell
Peter J. Waddell and Prasanth Kalakota
Combined Sum of Squares Penalties for Molecular Divergence Time Estimation
18 pages, 3 figures, 2 tables
null
null
null
q-bio.PE q-bio.GN q-bio.QM
null
Estimates of molecular divergence times when rates of evolution vary require the assumption of a model of rate change. Brownian motion is one such model, and since rates cannot become negative, a log Brownian model seems appropriate. Divergence time estimates can then be made using weighted least squares penalties. As sequences become long, this approach effectively becomes equivalent to penalized likelihood or Bayesian approaches. Different forms of the least squares penalty are considered to take into account correlation due to shared ancestors. It is shown that a scale parameter is also needed since the sum of squares changes with the scale of time. Errors or uncertainty on fossil calibrations, may be folded in with errors due to the stochastic nature of Brownian motion and ancestral polymorphism, giving a total sum of squares to be minimized. Applying these methods to placental mammal data the estimated age of the root decreases from 125 to about 94 mybp. However, multiple fossil calibration points and relative molecular divergence times inflate the sum of squares more than expected. If fossil data are also bootstrapped, then the confidence interval for the root of placental mammals varies widely from ~70 to 130 mybp. Such a wide interval suggests that more and better fossil calibration data is needed and/or better models of rate evolution are needed and/or better molecular data are needed. Until these issues are thoroughly investigated, it is premature to declare either the old molecular dates frequently obtained (e.g. > 110 mybp) or the lack of identified placental fossils in the Cretaceous, more indicative of when crown-group placental mammals evolved.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 19:59:59 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 21:11:17 GMT" } ]
2007-07-24T00:00:00
[ [ "Waddell", "Peter J.", "" ], [ "Kalakota", "Prasanth", "" ] ]
0707.3443
James Wray
James J. Wray (1) and James E. Gunn (2) ((1) Cornell University, (2) Princeton University)
A New Technique for Galaxy Photometric Redshifts in the Sloan Digital Sky Survey
24 pages, 10 figures, accepted to ApJ; added tables and references
Astrophys.J.678:144-153,2008
10.1086/529127
null
astro-ph
null
Traditional photometric redshift methods use only color information about the objects in question to estimate their redshifts. This paper introduces a new method utilizing colors, luminosity, surface brightness, and radial light profile to measure the redshifts of galaxies in the Sloan Digital Sky Survey (SDSS). We take a statistical approach: distributions of galaxies from the SDSS Large-Scale Structure (LSS; spectroscopic) sample are constructed at a range of redshifts, and target galaxies are compared to these distributions. An adaptive mesh is implemented to increase the percentage of the parameter space populated by the LSS galaxies. We test the method on a subset of galaxies from the LSS sample, yielding rms Delta-z of 0.025 for red galaxies and 0.030 for blue galaxies (all with z < 0.25). Possible future improvements to this promising technique are described, as is our ongoing work to extend the method to galaxies at higher redshift.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:00:18 GMT" }, { "version": "v2", "created": "Thu, 10 Jan 2008 00:21:55 GMT" } ]
2008-11-26T00:00:00
[ [ "Wray", "James J.", "" ], [ "Gunn", "James E.", "" ] ]
0707.3444
Michael Salem
Lawrence J. Hall, Michael P. Salem and Taizan Watari
Quark and Lepton Masses from Gaussian Landscapes
5 pages, 1 figure; v2: clarifications added; v3: slightly extended from version to appear in PRL
Phys.Rev.Lett.100:141801,2008
10.1103/PhysRevLett.100.141801
UCB-PTH-07/11, LBNL-62797, CALT-68-2653, UT-07-18
hep-ph hep-th
null
The flavor structure of the Standard Model might arise from random selection on a landscape. We propose a class of simple models, ``Gaussian landscapes,'' where Yukawa couplings derive from overlap integrals of Gaussian wavefunctions on extra-dimensions. Statistics of vacua are generated by scanning the peak positions of these zero-modes, giving probability distributions for all flavor observables. Gaussian landscapes can broadly account for all observed flavor patterns with very few free parameters. For example, the generation structure in the quark sector follows from the overlap integrals for both the up and down type Yukawas sharing the localized wavefunctions of the quark doublets and the Higgs boson. Although Gaussian landscapes predict broad probability distributions, the flavor observables are correlated and we show that accounting for measured flavor parameters creates sharper distributions for future neutrino measurements.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 16:43:18 GMT" }, { "version": "v2", "created": "Thu, 9 Aug 2007 21:45:58 GMT" }, { "version": "v3", "created": "Fri, 11 Apr 2008 13:24:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Hall", "Lawrence J.", "" ], [ "Salem", "Michael P.", "" ], [ "Watari", "Taizan", "" ] ]
0707.3445
Jeremy Tinker
Jeremy L. Tinker, Charlie Conroy, Peder Norberg, Santiago G. Patiri, David H. Weinberg, Michael S. Warren
Void Statistics in Large Galaxy Redshift Surveys: Does Halo Occupation of Field Galaxies Depend on Environment?
20 emulateapj pages, 9 figures. submitted to ApJ
null
10.1086/589983
null
astro-ph
null
We use measurements of the projected galaxy correlation function w_p and galaxy void statistics to test whether the galaxy content of halos of fixed mass is systematically different in low density environments. We present new measurements of the void probability function (VPF) and underdensity probability function (UPF) from Data Release Four of the Sloan Digital Sky Survey, as well as new measurements of the VPF from the full data release of the Two-Degree Field Galaxy Redshift Survey. We compare these measurements to predictions calculated from models of the Halo Occupation Distribution (HOD) that are constrained to match both w_p and the space density of galaxies. The standard implementation of the HOD assumes that galaxy occupation depends on halo mass only, and is independent of local environment. For luminosity-defined samples, we find that the standard HOD prediction is a good match to the observations, and the data exclude models in which galaxy formation efficiency is reduced in low-density environments. More remarkably, we find that the void statistics of red and blue galaxies (at L ~ 0.4L_*) are perfectly predicted by standard HOD models matched to the correlation function of these samples, ruling out "assembly bias" models in which galaxy color is correlated with large-scale environment at fixed halo mass. We conclude that the luminosity and color of field galaxies are determined predominantly by the mass of the halo in which they reside and have little direct dependence on the environment in which the host halo formed. In broader terms, our results show that the sizes and emptiness of voids found in the distribution of L > 0.2L_* galaxies are in excellent agreement with the predictions of a standard cosmological model with a simple connection between galaxies and dark matter halos. (abridged)
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:55:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Tinker", "Jeremy L.", "" ], [ "Conroy", "Charlie", "" ], [ "Norberg", "Peder", "" ], [ "Patiri", "Santiago G.", "" ], [ "Weinberg", "David H.", "" ], [ "Warren", "Michael S.", "" ] ]
0707.3446
Michael Salem
Lawrence J. Hall, Michael P. Salem and Taizan Watari
Statistical Understanding of Quark and Lepton Masses in Gaussian Landscapes
86 pages, 26 figures, 2 tables, and table of contents
Phys.Rev.D76:093001,2007
10.1103/PhysRevD.76.093001
UCB-PTH-07/12, LBNL-62798, CALT-68-2654, UT-07-19
hep-ph hep-th
null
The fundamental theory of nature may allow a large landscape of vacua. Even if the theory contains a unified gauge symmetry, the 22 flavor parameters of the Standard Model, including neutrino masses, may be largely determined by the statistics of this landscape, and not by any symmetry. Then the measured values of the flavor parameters do not lead to any fundamental symmetries, but are statistical accidents; their precise values do not provide any insights into the fundamental theory, rather the overall pattern of flavor reflects the underlying landscape. We investigate whether random selection from the statistics of a simple landscape can explain the broad patterns of quark, charged lepton, and neutrino masses and mixings. We propose Gaussian landscapes as simplified models of landscapes where Yukawa couplings result from overlap integrals of zero-mode wavefunctions in higher-dimensional supersymmetric gauge theories. In terms of just five free parameters, such landscapes can account for all gross features of flavor, including: the hierarchy of quark and charged lepton masses; small quark mixing angles, with 13 mixing less than 12 and 23 mixing; very light Majorana neutrino masses, with the solar to atmospheric neutrino mass ratio consistent with data; distributions for leptonic 12 and 23 mixings that are peaked at large values, while the distribution for 13 mixing is peaked at low values; and order unity CP violating phases in both the quark and lepton sectors. While the statistical distributions for flavor parameters are broad, the distributions are robust to changes in the geometry of the extra dimensions. Constraining the distributions by loose cuts about observed values leads to narrower distributions for neutrino measurements of 13 mixing, CP violation, and neutrinoless double beta decay.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 16:25:50 GMT" }, { "version": "v2", "created": "Fri, 10 Aug 2007 12:16:38 GMT" } ]
2008-12-18T00:00:00
[ [ "Hall", "Lawrence J.", "" ], [ "Salem", "Michael P.", "" ], [ "Watari", "Taizan", "" ] ]
0707.3447
Fr\'ed\'eric Ronga
O. Buchmueller, R. Cavanaugh, A. De Roeck, S. Heinemeyer, G. Isidori, P. Paradisi, F.J. Ronga, A.M. Weber, G. Weiglein
Prediction for the Lightest Higgs Boson Mass in the CMSSM using Indirect Experimental Constraints
Published version (formatting corrected): 12 pages, 7 figures, requires espcrc2.sty
Phys.Lett.B657:87-94,2007
10.1016/j.physletb.2007.09.058
IPPP/07/43, DCPT/07/86, MPP-2007-142
hep-ph
null
Measurements at low energies provide interesting indirect information about masses of particles that are (so far) too heavy to be produced directly. Motivated by recent progress in consistently and rigorously calculating electroweak precision observables and flavour related observables, we derive the preferred value for m_h in the Constrained Minimal Supersymmetric Standard Model (CMSSM), obtained from a fit taking into account electroweak precision data, flavour physics observables and the abundance of Cold Dark Matter. No restriction is imposed on m_h itself: the experimental bound from direct Higgs boson search at LEP is not included in the fit. A multi-parameter chi^2 is minimized with respect to the free parameters of the CMSSM, M_0, M_1/2, A_0, tan(beta). A statistical comparison with the Standard Model fit to the electroweak precision data is made. The preferred value for the lightest Higgs boson mass in the CMSSM is found to be m_h^CMSSM = 110+8-10(exp.)+-3(theo.) GeV/c^2, where the first uncertainty is experimental and the second uncertainty is theoretical. This value is in agreement with the limit from direct Higgs boson search at LEP.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:19:53 GMT" }, { "version": "v2", "created": "Mon, 26 Nov 2007 09:59:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Buchmueller", "O.", "" ], [ "Cavanaugh", "R.", "" ], [ "De Roeck", "A.", "" ], [ "Heinemeyer", "S.", "" ], [ "Isidori", "G.", "" ], [ "Paradisi", "P.", "" ], [ "Ronga", "F. J.", "" ], [ "Weber", "A. M.", "" ], [ "Weiglein", "G.", "" ] ]
0707.3448
Ivan Nourdin
Ivan Nourdin (PMA), David Nualart
Central limit theorems for multiple Skorohod integrals
32 pages; major changes in Sections 4 and 5
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we prove a central limit theorem for a sequence of iterated Shorohod integrals using the techniques of Malliavin calculus. The convergence is stable, and the limit is a conditionally Gaussian random variable. Some applications to sequences of multiple stochastic integrals, and renormalized weighted Hermite variations of the fractional Brownian motion are discussed.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:40:15 GMT" }, { "version": "v2", "created": "Thu, 20 Sep 2007 11:41:47 GMT" }, { "version": "v3", "created": "Thu, 10 Jan 2008 08:09:04 GMT" }, { "version": "v4", "created": "Thu, 21 Aug 2008 05:02:30 GMT" }, { "version": "v5", "created": "Thu, 3 Sep 2009 06:45:53 GMT" } ]
2009-09-03T00:00:00
[ [ "Nourdin", "Ivan", "", "PMA" ], [ "Nualart", "David", "" ] ]
0707.3449
Jean Mairesse
Thu-Ha Dao-Thi (LIAFA), Jean Mairesse (LIAFA)
Zero-automatic queues and product form
null
Advances in Applied Probability 39, 2 (2007) 429-461
null
null
cs.DM
null
We introduce and study a new model: 0-automatic queues. Roughly, 0-automatic queues are characterized by a special buffering mechanism evolving like a random walk on some infinite group or monoid. The salient result is that all stable 0-automatic queues have a product form stationary distribution and a Poisson output process. When considering the two simplest and extremal cases of 0-automatic queues, we recover the simple M/M/1 queue, and Gelenbe's G-queue with positive and negative customers.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:41:43 GMT" } ]
2007-07-25T00:00:00
[ [ "Dao-Thi", "Thu-Ha", "", "LIAFA" ], [ "Mairesse", "Jean", "", "LIAFA" ] ]
0707.3450
Paschalis Karageorgis
Paschalis Karageorgis
Stability and intersection properties of solutions to the nonlinear biharmonic equation
null
null
null
null
math.AP
null
We study the positive, regular, radially symmetric solutions to the nonlinear biharmonic equation $\Delta^2 \phi = \phi^p$. First, we show that there exists a critical value $p_c$, depending on the space dimension, such that the solutions are linearly unstable if $p<p_c$ and linearly stable if $p\geq p_c$. Then, we focus on the supercritical case $p\geq p_c$ and we show that the graphs of no two solutions intersect one another.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:43:23 GMT" } ]
2007-07-25T00:00:00
[ [ "Karageorgis", "Paschalis", "" ] ]
0707.3451
Gerald Teschl
Helge Krueger and Gerald Teschl
Relative Oscillation Theory for Sturm-Liouville Operators Extended
16 pages
J. Funct. Anal. 254-6, 1702-1720 (2008)
10.1016/j.jfa.2007.10.007
null
math.SP math-ph math.MP
null
We extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:15:03 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 20:34:13 GMT" } ]
2008-02-22T00:00:00
[ [ "Krueger", "Helge", "" ], [ "Teschl", "Gerald", "" ] ]
0707.3452
Sherri Honza
Jorge Carmona-Reyes, Jimmy Schmoke, Mike Cook, Jie Kong and Truell Hyde
Vertical Dust Particle Chains-Mass and Charge Measurements
null
null
null
CASPER-07-04
astro-ph
null
Dusty plasmas have generated a large amount of interest since the discovery of ordered structure (crystal) formation in experimentally generated complex plasmas in 1994. Dust particles within the plasma sheath generated in these complex plasmas can form vertical chains due to the streaming ion wakefield. For the simplest of these configurations (a two particle chain), the particle closest to the lower electrode will generally remain in the shadow of the particle farthest from the lower electrode. These results in the two particles feeling differing ion drag forces: the top particle is acted on by the ion drag force directed from the plasma to the lower electrode, while the bottom particle is acted upon by the resulting wakefield produced by the interaction of the upper particle with the ion drag force. This dynamic situation currently provides the best known experimental environment for examining the physics behind the ion drag force and its interaction with the plasma sheath. An experimental method for investigating the interaction between pair-particle chains based on modulating the bias on the lower electrode employing a DC bias modulation technique will be presented.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 20:47:57 GMT" } ]
2007-07-25T00:00:00
[ [ "Carmona-Reyes", "Jorge", "" ], [ "Schmoke", "Jimmy", "" ], [ "Cook", "Mike", "" ], [ "Kong", "Jie", "" ], [ "Hyde", "Truell", "" ] ]
0707.3453
Aleksandr Zheltukhin
A. A. Zheltukhin
Unification of twistors and Ramond vectors
Comments: 11 pages, v2 published in Phys. Lett.: misprints corrected and clarifications added
Phys.Lett.B658:82-89,2007
10.1016/j.physletb.2007.10.037
null
hep-th
null
We generalize the idea of supertwistors and introduce a new supersymmetric object - the $\theta$-twistor which includes the composite Ramond vector [11] well known from the spinning string dynamics. The symmetries of the chiral $\theta$-twistor superspace are studied. It is shown that the chiral spin structure introduced by the $\theta$-twistor breaks the superconformal boost symmetry but preserves the scale symmetry and the super-Poincare symmetry. This geometrical effect of breaking correlates with the Gross-Wess effect of the conformal boost breaking for bosonic scattering amplitudes.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 21:08:43 GMT" }, { "version": "v2", "created": "Wed, 5 Dec 2007 22:03:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Zheltukhin", "A. A.", "" ] ]
0707.3454
Andras Pal Mr.
Andras Pal and Aron Suli
Solving Linearized Equations of the $N$-body Problem Using the Lie-integration Method
accepted for publication in MNRAS (13 pages, 4 figures); see http://cm.elte.hu/lie (cm.elte.hu/lie) for software
null
10.1111/j.1365-2966.2007.12248.x
MN-07-0767-MJ
astro-ph
null
Several integration schemes exits to solve the equations of motion of the $N$-body problem. The Lie-integration method is based on the idea to solve ordinary differential equations with Lie-series. In the 1980s this method was applied for the $N$-body problem by giving the recurrence formula for the calculation of the Lie-terms. The aim of this works is to present the recurrence formulae for the linearized equations of motion of $N$-body systems. We prove a lemma which greatly simplifies the derivation of the recurrence formulae for the linearized equations if the recurrence formulae for the equations of motions are known. The Lie-integrator is compared with other well-known methods. The optimal step size and order of the Lie-integrator are calculated. It is shown that a fine-tuned Lie-integrator can be 30%-40% faster than other integration methods.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 21:14:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Pal", "Andras", "" ], [ "Suli", "Aron", "" ] ]
0707.3455
Ross Mair
L. L. Tsai, R. W. Mair, C.-H. Li, M. S. Rosen, S. Patz and R. L. Walsworth
Posture-Dependent Human 3He Lung Imaging in an Open Access MRI System: Initial Results
single pdf file in manuscript format, 35 pages, 5 figures Submitted to Academic Radiology
null
null
null
physics.med-ph
null
The human lung and its functions are extremely sensitive to orientation and posture, and debate continues as to the role of gravity and the surrounding anatomy in determining lung function and heterogeneity of perfusion and ventilation. However, study of these effects is difficult. The conventional high-field magnets used for most hyperpolarized 3He MRI of the human lung, and most other common radiological imaging modalities including PET and CT, restrict subjects to lying horizontally, minimizing most gravitational effects. In this paper, we briefly review the motivation for posture-dependent studies of human lung function, and present initial imaging results of human lungs in the supine and vertical body orientations using inhaled hyperpolarized 3He gas and an open-access MRI instrument. The open geometry of this MRI system features a "walk-in" capability that permits subjects to be imaged in vertical and horizontal positions, and potentially allows for complete rotation of the orientation of the imaging subject in a two-dimensional plane. Initial results include two-dimensional lung images acquired with ~ 4 mm in-plane resolution and three-dimensional images with ~ 1.5 cm slice thickness. Effects of posture variation are observed.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 21:18:01 GMT" } ]
2007-07-25T00:00:00
[ [ "Tsai", "L. L.", "" ], [ "Mair", "R. W.", "" ], [ "Li", "C. -H.", "" ], [ "Rosen", "M. S.", "" ], [ "Patz", "S.", "" ], [ "Walsworth", "R. L.", "" ] ]
0707.3456
Paul J. Wiita
Paul J. Wiita, Gopal-Krishna, Samir Dhurde, Pronoy Sircar
Effects of Jet Opening Angle and Velocity Structure on Blazar Parameters
5 pages, 1 figure, to appear in Extragalactic Jets: Theory and Observation from Radio to Gamma Ray, T.A. Rector and D.S. De Young, eds
null
null
null
astro-ph
null
We had earlier shown that for a constant velocity jet the discrepancy between the low speeds indicated by VLBI knot motions and the high Doppler factors inferred from emission of TeV photons could be reconciled if ultrarelativistic jets possessed modest opening angles. Here we evaluate the (flux-weighted) viewing angles of the jet and the apparent speeds and Doppler factors of the radio knots on parsec scales. The influence of the jet opening angle on these radio knot parameters are found for the usually considered types of relativistic nuclear jets: those with uniform bulk speeds and those where the bulk Lorentz factor of the flow decreases with distance from the jet axis, known as `spine--sheath' flows. For both types of jet velocity structures the expectation value of the jet orientation angle at first falls dramatically with increases in the (central) jet Lorentz factor, but for extremely relativistic jets it levels off at a fraction of the opening angle. The effective values of the apparent speeds and Doppler factors of the knots always decline substantially with increasing jet opening angle. The rarity of highly superluminal parsec-scale radio components in TeV blazars can be understood if their jets are both highly relativistic and intrinsically weaker, so probably less well collimated, than the jets in ordinary blazars.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 21:42:37 GMT" } ]
2007-07-25T00:00:00
[ [ "Wiita", "Paul J.", "" ], [ "Gopal-Krishna", "", "" ], [ "Dhurde", "Samir", "" ], [ "Sircar", "Pronoy", "" ] ]
0707.3457
Chenguang Lu
Chenguang Lu
A Generalized Information Formula as the Bridge between Shannon and Popper
8 pages, 5 figures
null
null
null
cs.IT cs.AI math.IT
null
A generalized information formula related to logical probability and fuzzy set is deduced from the classical information formula. The new information measure accords with to Popper's criterion for knowledge evolution very much. In comparison with square error criterion, the information criterion does not only reflect error of a proposition, but also reflects the particularity of the event described by the proposition. It gives a proposition with less logical probability higher evaluation. The paper introduces how to select a prediction or sentence from many for forecasts and language translations according to the generalized information criterion. It also introduces the rate fidelity theory, which comes from the improvement of the rate distortion theory in the classical information theory by replacing distortion (i.e. average error) criterion with the generalized mutual information criterion, for data compression and communication efficiency. Some interesting conclusions are obtained from the rate-fidelity function in relation to image communication. It also discusses how to improve Popper's theory.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 00:04:32 GMT" } ]
2007-07-25T00:00:00
[ [ "Lu", "Chenguang", "" ] ]
0707.3458
Shaul Mukamel
Shaul Mukamel
Causal vs. Noncausal Description of Nonlinear Wave Mixing; Resolving the Damping-Sign Controversy
null
null
10.1103/PhysRevA.76.021803
null
quant-ph
null
Frequency-domain nonlinear wave mixing processes may be described either using response functions whereby the signal is generated after all interactions with the incoming fields, or in terms of scattering amplitudes where all fields are treated symetrically with no specific time ordering. Closed Green's function expressions derived for the two types of signals have different analytical properties. The recent controversy regarding the sign of radiative damping in the linear (Kramers Heisenberg) formula is put in a broader context.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 21:45:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Mukamel", "Shaul", "" ] ]
0707.3459
Joerg Schmalian
K. M. Ho, J. Schmalian and C. Z. Wang
Gutzwiller density functional theory for correlated electron systems
4 pages
null
10.1103/PhysRevB.77.073101
null
cond-mat.supr-con cond-mat.mtrl-sci
null
We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for all one particle operators. The solution of the many electron problem is mapped onto the self-consistent solution of a set of single particle Schroedinger equations analogous to standard DFT-LDA calculations.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 21:45:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Ho", "K. M.", "" ], [ "Schmalian", "J.", "" ], [ "Wang", "C. Z.", "" ] ]
0707.3460
Ken D. Olum
Jose J. Blanco-Pillado and Ken D. Olum
Monopole annihilation in cosmic necklaces
17 pages, 4 figures. Major revision discussing many additional scenarios.
JCAP 1005:014,2010
10.1088/1475-7516/2010/05/014
null
astro-ph gr-qc hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A sequence of two symmetry breaking transitions in the early universe may produce monopoles whose flux is confined into two strings each, which thus assemble into "necklaces" with monopoles as beads. Such "cosmic necklaces" have been proposed as a source of ultra-high-energy cosmic rays. We analyze the evolution of these systems and show that essentially all monopoles annihilate or leave the string at early times, after which cosmic necklaces evolve in a similar way to a network of ordinary cosmic strings. We investigate several modifications to the basic picture, but in nearly all cases we find that too few monopoles remain on the necklaces to produce any observable cosmic rays. There may be a small window for superconducting condensates to prevent annihilations, but only if both the string and the condensate scale are very high.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 22:04:41 GMT" }, { "version": "v2", "created": "Wed, 8 Aug 2007 22:48:52 GMT" }, { "version": "v3", "created": "Sat, 6 Mar 2010 00:53:33 GMT" } ]
2010-05-25T00:00:00
[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Olum", "Ken D.", "" ] ]
0707.3461
Dinesh Krithivasan
D. Krithivasan and S. S. Pradhan
Lattices for Distributed Source Coding: Jointly Gaussian Sources and Reconstruction of a Linear Function
33 pages, 7 figures
null
null
null
cs.IT math.IT
null
Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder. The decoder is interested in reconstructing a linear combination of X1 and X2 to within a mean-square distortion of D. We obtain an inner bound to the optimal rate-distortion region for this problem. A portion of this inner bound is achieved by a scheme that reconstructs the linear function directly rather than reconstructing the individual components X1 and X2 first. This results in a better rate region for certain parameter values. Our coding scheme relies on lattice coding techniques in contrast to more prevalent random coding arguments used to demonstrate achievable rate regions in information theory. We then consider the case of linear reconstruction of K sources and provide an inner bound to the optimal rate-distortion region. Some parts of the inner bound are achieved using the following coding structure: lattice vector quantization followed by "correlated" lattice-structured binning.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 22:55:43 GMT" } ]
2007-07-25T00:00:00
[ [ "Krithivasan", "D.", "" ], [ "Pradhan", "S. S.", "" ] ]
0707.3462
Noah Stein
Noah D. Stein, Asuman Ozdaglar, Pablo A. Parrilo
Separable and Low-Rank Continuous Games
null
International Journal of Game Theory, Vol. 37, No. 4, pp. 457-474, 2008.
10.1007/s00182-008-0129-2
null
cs.GT math.OC
null
In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in separable games. We show that these games admit finitely supported Nash equilibria. Motivated by the bounds on the supports of mixed equilibria in two-player finite games in terms of the ranks of the payoff matrices, we define the notion of the rank of an n-player continuous game and use this to provide bounds on the cardinality of the support of equilibrium strategies. We present a general characterization theorem that states that a continuous game has finite rank if and only if it is separable. Using our rank results, we present an efficient algorithm for computing approximate equilibria of two-player separable games with fixed strategy spaces in time polynomial in the rank of the game.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 16:20:59 GMT" } ]
2010-04-26T00:00:00
[ [ "Stein", "Noah D.", "" ], [ "Ozdaglar", "Asuman", "" ], [ "Parrilo", "Pablo A.", "" ] ]
0707.3463
Peter Silvestrov
P. G. Silvestrov and K. B. Efetov
Charge accumulation at the boundaries of a graphene strip induced by a gate voltage: Electrostatic approach
5 pages, 6 figures, Title changed due to Editor
Phys. Rev. B 77, 155436 (2008)
10.1103/PhysRevB.77.155436
null
cond-mat.mes-hall
null
Distribution of charge induced by a gate voltage in a graphene strip is investigated. We calculate analytically the charge profile and demonstrate a strong(macroscopic) charge accumulation along the boundaries of a micrometers-wide strip. This charge inhomogeneity is especially important in the quantum Hall regime where we predict the doubling of the number of edge states and coexistence of two different types of such states. Applications to graphene-based nanoelectronics are discussed.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 22:43:57 GMT" }, { "version": "v2", "created": "Sun, 14 Oct 2007 18:08:44 GMT" }, { "version": "v3", "created": "Tue, 3 Jun 2008 22:17:47 GMT" } ]
2008-06-04T00:00:00
[ [ "Silvestrov", "P. G.", "" ], [ "Efetov", "K. B.", "" ] ]
0707.3464
Emmanuel Tannenbaum
Emmanuel Tannenbaum
A comparison of three replication strategies in complex multicellular organisms: Asexual replication, sexual replication with identical gametes, and sexual replication with distinct sperm and egg gametes
18 pages, figures included with journal submission
null
10.1103/PhysRevE.77.011915
null
q-bio.PE
null
This paper studies the mutation-selection balance in three simplified replication models. The first model considers a population of organisms replicating via the production of asexual spores. The second model considers a sexually replicating population that produces identical gametes. The third model considers a sexually replicating population that produces distinct sperm and egg gametes. All models assume diploid organisms whose genomes consist of two chromosomes, each of which is taken to be functional if equal to some master sequence, and defective otherwise. In the asexual population, the asexual diploid spores develop directly into adult organisms. In the sexual populations, the haploid gametes enter a haploid pool, where they may fuse with other haploids. The resulting immature diploid organisms then proceed to develop into mature organisms. Based on an analysis of all three models, we find that, as organism size increases, a sexually replicating population can only outcompete an asexually replicating population if the adult organisms produce distinct sperm and egg gametes. A sexual replication strategy that is based on the production of large numbers of sperm cells to fertilize a small number of eggs is found to be necessary in order to maintain a sufficiently low cost for sex for the strategy to be selected for over a purely asexual strategy. We discuss the usefulness of this model in understanding the evolution and maintenance of sexual replication as the preferred replication strategy in complex, multicellular organisms.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 23:12:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Tannenbaum", "Emmanuel", "" ] ]
0707.3465
Claus O. Wilke
Eric Brunet, Igor M. Rouzine, Claus O. Wilke
The stochastic edge in adaptive evolution
36 pages, 4 figures
null
null
null
q-bio.PE
null
In a recent article, Desai and Fisher (2007) proposed that the speed of adaptation in an asexual population is determined by the dynamics of the stochastic edge of the population, that is, by the emergence and subsequent establishment of rare mutants that exceed the fitness of all sequences currently present in the population. Desai and Fisher perform an elaborate stochastic calculation of the mean time $\tau$ until a new class of mutants has been established, and interpret $1/\tau$ as the speed of adaptation. As they note, however, their calculations are valid only for moderate speeds. This limitation arises from their method to determine $\tau$: Desai and Fisher back-extrapolate the value of $\tau$ from the best-fit class' exponential growth at infinite time. This approach is not valid when the population adapts rapidly, because in this case the best-fit class grows non-exponentially during the relevant time interval. Here, we substantially extend Desai and Fisher's analysis of the stochastic edge. We show that we can apply Desai and Fisher's method to high speeds by either exponentially back-extrapolating from finite time or using a non-exponential back-extrapolation. Our results are compatible with predictions made using a different analytical approach (Rouzine et al. 2003, 2007), and agree well with numerical simulations.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 23:31:29 GMT" }, { "version": "v2", "created": "Tue, 18 Dec 2007 23:22:06 GMT" } ]
2007-12-19T00:00:00
[ [ "Brunet", "Eric", "" ], [ "Rouzine", "Igor M.", "" ], [ "Wilke", "Claus O.", "" ] ]
0707.3466
Eckehard Mielke W.
Eckehard W. Mielke
Einsteinian gravity from a topological action
14 pages
Phys.Rev.D77:084020,2008; Erratum-ibid.D77:109902,2008
10.1103/PhysRevD.77.084020 10.1103/PhysRevD.77.109902
null
hep-th
null
The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with a double duality gauge fixing, we obtain a consistent quantization in spaces of double dual curvature as classical instanton type background. However, exact vacuum solutions with double duality properties exhibit a `vacuum degeneracy'. By modifying the duality via a scale breaking term, we demonstrate that only Einstein's equations with an induced cosmological constant emerge for the topology of the macroscopic background. This may have repercussions on the problem of `dark energy' as well as `dark matter' modeled by a torsion induced quintaxion.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 23:38:21 GMT" }, { "version": "v2", "created": "Mon, 10 Sep 2007 22:30:51 GMT" } ]
2014-11-18T00:00:00
[ [ "Mielke", "Eckehard W.", "" ] ]
0707.3467
Rozanova Olga
Olga Rozanova
Generalized momenta of mass and their applications to the flow of compressible fluid
10 pages, Proceedings of the International Conference on Hyperbolic Problems, Lyon, 2006, France. In press
Hyperbolic Problems: Theory, Numerics, Applications, Springer Berlin Heidelberg, 2008, vol. IV, pp. 919-927
10.1007/978-3-540-75712-2_96
null
math.AP math-ph math.MP
null
We present a technique that allows to obtain certain results in the compressible fluid theory: in particular, it is a nonexistence result for the highly decreasing at infinity solutions to the Navier-Stokes equations, the construction of the solutions with uniform deformation and the study of behavior of the boundary of a material volume of liquid.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 23:39:25 GMT" } ]
2008-01-19T00:00:00
[ [ "Rozanova", "Olga", "" ] ]
0707.3468
Abdul Salam Jarrah
Eduardo Sontag, Alan Veliz-Cuba, Reinhard Laubenbacher, Abdul Salam Jarrah
The effect of negative feedback loops on the dynamics of Boolean networks
null
null
10.1529/biophysj.107.125021
null
q-bio.QM q-bio.MN
null
Feedback loops in a dynamic network play an important role in determining the dynamics of that network. Through a computational study, in this paper we show that networks with fewer independent negative feedback loops tend to exhibit more regular behavior than those with more negative loops. To be precise, we study the relationship between the number of independent feedback loops and the number and length of the limit cycles in the phase space of dynamic Boolean networks. We show that, as the number of independent negative feedback loops increases, the number (length) of limit cycles tends to decrease (increase). These conclusions are consistent with the fact, for certain natural biological networks, that they on the one hand exhibit generally regular behavior and on the other hand show less negative feedback loops than randomized networks with the same numbers of nodes and connectivity.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 23:46:58 GMT" }, { "version": "v2", "created": "Tue, 20 Nov 2007 17:45:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Sontag", "Eduardo", "" ], [ "Veliz-Cuba", "Alan", "" ], [ "Laubenbacher", "Reinhard", "" ], [ "Jarrah", "Abdul Salam", "" ] ]
0707.3469
Claus O. Wilke
Igor M. Rouzine, Eric Brunet, Claus O. Wilke
The traveling wave approach to asexual evolution: Muller's ratchet and speed of adaptation
50 pages, 8 figures
null
10.1016/j.tpb.2007.10.004
null
q-bio.PE
null
We use traveling-wave theory to derive expressions for the rate of accumulation of deleterious mutations under Muller's ratchet and the speed of adaptation under positive selection in asexual populations. Traveling-wave theory is a semi-deterministic description of an evolving population, where the bulk of the population is modeled using deterministic equations, but the class of the highest-fitness genotypes, whose evolution over time determines loss or gain of fitness in the population, is given proper stochastic treatment. We derive improved methods to model the highest-fitness class (the stochastic edge) for both Muller's ratchet and adaptive evolution, and calculate analytic correction terms that compensate for inaccuracies which arise when treating discrete fitness classes as a continuum. We show that traveling wave theory makes excellent predictions for the rate of mutation accumulation in the case of Muller's ratchet, and makes good predictions for the speed of adaptation in a very broad parameter range. We predict the adaptation rate to grow logarithmically in the population size until the population size is extremely large.
[ { "version": "v1", "created": "Mon, 23 Jul 2007 23:47:54 GMT" }, { "version": "v2", "created": "Wed, 10 Oct 2007 14:40:16 GMT" } ]
2007-12-19T00:00:00
[ [ "Rouzine", "Igor M.", "" ], [ "Brunet", "Eric", "" ], [ "Wilke", "Claus O.", "" ] ]
0707.3470
Fuquan Fang
Fuquan Fang, Yuguang Zhang
Convergence of Kaehler-Ricci flow with integral curvature bound
null
null
null
null
math.DG math.GT
null
Let $g(t)$, $t\in [0, +\infty)$, be a solution of the normalized K\"ahler-Ricci flow on a compact K\"ahler $n$-manifold $M$ with $c_{1}(M)>0$ and initial metric $g (0)\in 2\pi c_{1}(M)$. If there is a constant $C$ independent of $t$ such that $$ \int_{M}|Rm(g(t))|^{n}dv_{t}\leq C,$$ then, for any $t_{k}\to \infty$, a subsequence of $(M, g(t_{k}))$ converges to a compact orbifold $(X, h)$ with only finite many singular points $\{q_{j}\}$ in the Gromov-Hausdorff sense, where $h$ is a K\"ahler metric on $X\backslash \{q_{j}\}$ satisfying the K\"ahler-Ricci soliton equation, i.e. there is a smooth function $f$ such that $$Ric(h)-h=\nabla\bar{\nabla}f, {\rm and}\it \nabla \nabla f=\bar{\nabla} \bar{\nabla} f=0. $$
[ { "version": "v1", "created": "Tue, 24 Jul 2007 00:04:07 GMT" } ]
2007-07-25T00:00:00
[ [ "Fang", "Fuquan", "" ], [ "Zhang", "Yuguang", "" ] ]
0707.3471
Qing-Guo Huang
Qing-Guo Huang, Miao Li and Yi Wang
Eternal Chaotic Inflation is Prohibited by Weak Gravity Conjecture
10 pages
JCAP0709:013,2007
10.1088/1475-7516/2007/09/013
null
hep-th astro-ph gr-qc hep-ph
null
We investigate whether the eternal chaotic inflation can be achieved when the weak gravity conjecture is taken into account. We show that even the assisted chaotic inflation with potential $\lambda\phi^4$ or $m^2\phi^2$ can not be eternal. The effective field theory description for the inflaton field breaks down before inflation reaches the eternal regime. We also find that the total number of e-folds is still bounded by the inflationary entropy for the assisted inflation.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 00:17:29 GMT" } ]
2008-11-26T00:00:00
[ [ "Huang", "Qing-Guo", "" ], [ "Li", "Miao", "" ], [ "Wang", "Yi", "" ] ]
0707.3472
Hiroshi Koibuchi
Hiroshi Koibuchi
Phase transition of meshwork models for spherical membranes
21 pages, 12 figures
J. Stat. Phys. Vol.129, 605-621 (2007)
10.1007/s10955-007-9385-y
ICT-Koi-2007-5
cond-mat.stat-mech cond-mat.soft
null
We have studied two types of meshwork models by using the canonical Monte Carlo simulation technique. The first meshwork model has elastic junctions, which are composed of vertices, bonds, and triangles, while the second model has rigid junctions, which are hexagonal (or pentagonal) rigid plates. Two-dimensional elasticity is assumed only at the elastic junctions in the first model, and no two-dimensional bending elasticity is assumed in the second model. Both of the meshworks are of spherical topology. We find that both models undergo a first-order collapsing transition between the smooth spherical phase and the collapsed phase. The Hausdorff dimension of the smooth phase is H\simeq 2 in both models as expected. It is also found that H\simeq 2 in the collapsed phase of the second model, and that H is relatively larger than 2 in the collapsed phase of the first model, but it remains in the physical bound, i.e., H<3. Moreover, the first model undergoes a discontinuous surface fluctuation transition at the same transition point as that of the collapsing transition, while the second model undergoes a continuous transition of surface fluctuation. This indicates that the phase structure of the meshwork model is weakly dependent on the elasticity at the junctions.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 00:27:30 GMT" } ]
2007-10-25T00:00:00
[ [ "Koibuchi", "Hiroshi", "" ] ]
0707.3473
Derrick Hart
Derrick Hart, Alex Iosevich, Doowon Koh, Misha Rudnev
Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
null
null
null
null
math.CA math.CO
null
We prove a point-wise and average bound for the number of incidences between points and hyper-planes in vector spaces over finite fields. While our estimates are, in general, sharp, we observe an improvement for product sets and sets contained in a sphere. We use these incidence bounds to obtain significant improvements on the arithmetic problem of covering ${\mathbb F}_q$, the finite field with q elements, by $A \cdot A+... +A \cdot A$, where A is a subset ${\mathbb F}_q$ of sufficiently large size. We also use the incidence machinery we develope and arithmetic constructions to study the Erdos-Falconer distance conjecture in vector spaces over finite fields. We prove that the natural analog of the Euclidean Erdos-Falconer distance conjecture does not hold in this setting due to the influence of the arithmetic. On the positive side, we obtain good exponents for the Erdos -Falconer distance problem for subsets of the unit sphere in $\mathbb F_q^d$ and discuss their sharpness. This results in a reasonably complete description of the Erdos-Falconer distance problem in higher dimensional vector spaces over general finite fields.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 00:29:25 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 14:07:50 GMT" } ]
2007-07-31T00:00:00
[ [ "Hart", "Derrick", "" ], [ "Iosevich", "Alex", "" ], [ "Koh", "Doowon", "" ], [ "Rudnev", "Misha", "" ] ]
0707.3474
Wei-Qin Zhao
Zhao Wei-Qin
Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped Potential in $N$-dimensional Space
8 pages, 3 figures
null
10.1088/0253-6102/50/1/30
null
quant-ph
null
Based on an iterative method for solving the goundstate of Schroedinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groundstates with zero eigenvalue. The restrictions on the parameters in the potential are discussed.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 01:10:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Wei-Qin", "Zhao", "" ] ]
0707.3475
Vladimir V. Usov
A. E. Shabad, V. V. Usov
Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom
45 pages, 6 figures, accepted to Phys. Rev. D
Phys.Rev.D77:025001,2008
10.1103/PhysRevD.77.025001
null
astro-ph gr-qc hep-lat hep-ph hep-th physics.atom-ph
null
In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We establish a short-range component of the static interaction in the Larmour scale, expressed as a Yukawa-like law, and reveal the corresponding "photon mass" parameter. The electrostatic force regains its long-range character in the Compton scale: the tail of the potential follows an anisotropic Coulomb law, decreasing away from the charge slower along the magnetic field and faster across. In the infinite-magnetic-field limit the potential is confined to an infinitely thin string passing though the charge parallel to the external field. This is the first evidence for dimensional reduction in the photon sector of quantum electrodynamics. The one-dimensional form of the potential on the string is derived that includes a delta-function centered in the charge. The nonrelativistic ground-state energy of a hydrogenlike atom is found with its use and shown not to be infinite in the infinite-field limit, contrary to what was commonly accepted before, when the vacuum polarization had been ignored. These results may be useful for studying properties of matter at the surface of extremely magnetized neutron stars.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 02:52:54 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 10:23:26 GMT" }, { "version": "v3", "created": "Mon, 29 Oct 2007 16:00:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Shabad", "A. E.", "" ], [ "Usov", "V. V.", "" ] ]
0707.3476
Melvyn B. Nathanson
Sergei V. Konyagin and Melvyn B. Nathanson
Sums of products of congruence classes and of arithmetic progressions
8 pages
International Journal of Number Theory 5 (2009), 625--634
null
null
math.NT
null
Consider the congruence class R_m(a)={a+im:i\in Z} and the infinite arithmetic progression P_m(a)={a+im:i\in N_0}. For positive integers a,b,c,d,m the sum of products set R_m(a)R_m(b)+R_m(c)R_m(d) consists of all integers of the form (a+im)(b+jm)+(c+km)(d+\ell m) for some i,j,k,\ell\in Z. It is proved that if gcd(a,b,c,d,m)=1, then R_m(a)R_m(b)+R_m(c)R_m(d) is equal to the congruence class R_m(ab+cd), and that the sum of products set P_m(a)P_m(b)+P_m(c)P_m(d) eventually coincides with the infinite arithmetic progression P_m(ab+cd).
[ { "version": "v1", "created": "Tue, 24 Jul 2007 02:09:31 GMT" } ]
2016-12-30T00:00:00
[ [ "Konyagin", "Sergei V.", "" ], [ "Nathanson", "Melvyn B.", "" ] ]
0707.3477
Michel Gingras
Taras Yavors'kii, Tom Fennell, Michel J. P. Gingras, Steven T. Bramwell
Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
4 pages, 2 figures. Conforms to published version. Small amendments compared to version #1. A high resolution version of Figure 1 can be obtained by e-mailing [email protected]
Phys. Rev. Lett. 101, 037204 (2008)
10.1103/PhysRevLett.101.037204
null
cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Dy2Ti2O7 is a geometrically frustrated magnetic material with a strongly correlated spin ice regime that extends from 1 K down to as low as 60 mK. The diffuse elastic neutron scattering intensities in the spin ice regime can be remarkably well described by a phenomenological model of weakly interacting hexagonal spin clusters, as invoked in other geometrically frustrated magnets. We present a highly refined microscopic theory of Dy2Ti2O7 that includes long-range dipolar and exchange interactions to third nearest neighbors and which demonstrates that the clusters are purely fictitious in this material. The seeming emergence of composite spin clusters and their associated scattering pattern is instead an indicator of fine-tuning of ancillary correlations within a strongly correlated state.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 03:16:47 GMT" }, { "version": "v2", "created": "Fri, 1 Aug 2008 21:29:59 GMT" } ]
2008-08-02T00:00:00
[ [ "Yavors'kii", "Taras", "" ], [ "Fennell", "Tom", "" ], [ "Gingras", "Michel J. P.", "" ], [ "Bramwell", "Steven T.", "" ] ]
0707.3478
Rudi Schaefer
Rudi Sch\"afer, Markus Sj\"olin, Andreas Sundin, Michal Wolanski and Thomas Guhr
Credit risk - A structural model with jumps and correlations
24 pages
Physica A 383, 533 (2007)
10.1016/j.physa.2007.04.053
null
q-fin.RM cond-mat.stat-mech physics.soc-ph q-fin.ST
null
We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations between the companies. We discuss that models of this type have much in common with other problems in statistical physics and in the theory of complex systems. We study a simplified version of our model analytically. Furthermore, we perform extensive numerical simulations for the full model. The observables are the loss distribution of the credit portfolio, its moments and other quantities derived thereof. We compile detailed information about the parameter dependence of these observables. In the course of setting up and analyzing our model, we also give a review of credit risk modeling for a physics audience.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 14:10:57 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 13:30:40 GMT" } ]
2008-12-02T00:00:00
[ [ "Schäfer", "Rudi", "" ], [ "Sjölin", "Markus", "" ], [ "Sundin", "Andreas", "" ], [ "Wolanski", "Michal", "" ], [ "Guhr", "Thomas", "" ] ]
0707.3479
Alp Atici
Alp Atici, Rocco A. Servedio
Quantum Algorithms for Learning and Testing Juntas
15 pages, 1 figure. Uses synttree package. To appear in Quantum Information Processing
Quantum Information Processing, Vol. 6, No. 5, 323 - 348 (2007)
10.1007/s11128-007-0061-6
null
quant-ph cs.LG
null
In this article we develop quantum algorithms for learning and testing juntas, i.e. Boolean functions which depend only on an unknown set of k out of n input variables. Our aim is to develop efficient algorithms: - whose sample complexity has no dependence on n, the dimension of the domain the Boolean functions are defined over; - with no access to any classical or quantum membership ("black-box") queries. Instead, our algorithms use only classical examples generated uniformly at random and fixed quantum superpositions of such classical examples; - which require only a few quantum examples but possibly many classical random examples (which are considered quite "cheap" relative to quantum examples). Our quantum algorithms are based on a subroutine FS which enables sampling according to the Fourier spectrum of f; the FS subroutine was used in earlier work of Bshouty and Jackson on quantum learning. Our results are as follows: - We give an algorithm for testing k-juntas to accuracy $\epsilon$ that uses $O(k/\epsilon)$ quantum examples. This improves on the number of examples used by the best known classical algorithm. - We establish the following lower bound: any FS-based k-junta testing algorithm requires $\Omega(\sqrt{k})$ queries. - We give an algorithm for learning $k$-juntas to accuracy $\epsilon$ that uses $O(\epsilon^{-1} k\log k)$ quantum examples and $O(2^k \log(1/\epsilon))$ random examples. We show that this learning algorithms is close to optimal by giving a related lower bound.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 13:17:55 GMT" } ]
2007-10-16T00:00:00
[ [ "Atici", "Alp", "" ], [ "Servedio", "Rocco A.", "" ] ]
0707.3480
Jean Chiar
J. E. Chiar, K. Ennico, Y. J. Pendleton, A. C. A. Boogert, T. Greene, C. Knez, C. Lada, T. Roellig, A. G. G. M. Tielens, M. Werner, D. C. B. Whittet
The Relationship between the Optical Depth of the 9.7 micron Silicate Absorption Feature and Infrared Differential Extinction in Dense Clouds
11 pages including 2 figures, 1 table. Accepted for publication in ApJ Letters, 23 July 2007
null
10.1086/521789
null
astro-ph
null
We have examined the relationship between the optical depth of the 9.7 micron silicate absorption feature (tau_9.7) and the near-infrared color excess, E(J-Ks) in the Serpens, Taurus, IC 5146, Chameleon I, Barnard 59, and Barnard 68 dense clouds/cores. Our data set, based largely on Spitzer IRS spectra, spans E(J-Ks)=0.3 to 10 mag (corresponding to visual extinction between about 2 and 60 mag.). All lines of sight show the 9.7 micron silicate feature. Unlike in the diffuse ISM where a tight linear correlation between the 9.7 micron silicate feature optical depth and the extinction (Av) is observed, we find that the silicate feature in dense clouds does not show a monotonic increase with extinction. Thus, in dense clouds, tau_9.7 is not a good measure of total dust column density. With few exceptions, the measured tau_9.7 values fall well below the diffuse ISM correlation line for E(J-Ks) > 2 mag (Av >12 mag). Grain growth via coagulation is a likely cause of this effect.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 04:27:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Chiar", "J. E.", "" ], [ "Ennico", "K.", "" ], [ "Pendleton", "Y. J.", "" ], [ "Boogert", "A. C. A.", "" ], [ "Greene", "T.", "" ], [ "Knez", "C.", "" ], [ "Lada", "C.", "" ], [ "Roellig", "T.", "" ], [ "Tielens", "A. G. G. M.", "" ], [ "Werner", "M.", "" ], [ "Whittet", "D. C. B.", "" ] ]
0707.3481
Daniel Chan
Daniel Chan
McKay correspondence for canonical orders
null
null
null
null
math.AG math.RA
null
Canonical orders, introduced in the minimal model program for orders, are simultaneous generalisations of Kleinian singularities and their associated skew group rings. In this paper, we construct minimal resolutions of canonical orders via non-commutative cyclic covers and skew group rings. This allows us to exhibit a derived equivalence between minimal resolutions of canonical orders and the skew group ring form of the canonical order in all but one case. The Fourier-Mukai transform used to construct this equivalence allows us to make explicit, the numerical version of the McKay correspondence for canonical orders which, relates the exceptional curves of the minimal resolution to the indecomposable reflexive modules of the canonical order.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 04:51:06 GMT" } ]
2007-07-25T00:00:00
[ [ "Chan", "Daniel", "" ] ]
0707.3482
Kenton K. Yee
Kenton K. Yee
A Bayesian Framework for Combining Valuation Estimates
Citations at http://papers.ssrn.com/sol3/cf_dev/AbsByAuth.cfm?per_id=240309 Review of Quantitative Finance and Accounting, 30.3 (2008) forthcoming
null
null
null
q-fin.ST cs.CE nlin.AO nlin.CD nlin.SI physics.pop-ph physics.soc-ph stat.AP
null
Obtaining more accurate equity value estimates is the starting point for stock selection, value-based indexing in a noisy market, and beating benchmark indices through tactical style rotation. Unfortunately, discounted cash flow, method of comparables, and fundamental analysis typically yield discrepant valuation estimates. Moreover, the valuation estimates typically disagree with market price. Can one form a superior valuation estimate by averaging over the individual estimates, including market price? This article suggests a Bayesian framework for combining two or more estimates into a superior valuation estimate. The framework justifies the common practice of averaging over several estimates to arrive at a final point estimate.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 05:04:53 GMT" } ]
2008-12-02T00:00:00
[ [ "Yee", "Kenton K.", "" ] ]
0707.3483
Guilhem Lavaux
G. Lavaux, R. Mohayaee, S. Colombi, R. B. Tully, F. Bernardeau, J. Silk
Observational biases in Lagrangian reconstructions of cosmic velocity fields
29 pages, 21 figures, 6 tables, Accepted by MNRAS on 2007 October 2. Received 2007 September 30; in original form 2007 July 24
null
10.1111/j.1365-2966.2007.12539.x
null
astro-ph
null
Lagrangian reconstruction of large-scale peculiar velocity fields can be strongly affected by observational biases. We develop a thorough analysis of these systematic effects by relying on specially selected mock catalogues. For the purpose of this paper, we use the MAK reconstruction method, although any other Lagrangian reconstruction method should be sensitive to the same problems. We extensively study the uncertainty in the mass-to-light assignment due to luminosity incompleteness, and the poorly-determined relation between mass and luminosity. The impact of redshift distortion corrections is analyzed in the context of MAK and we check the importance of edge and finite-volume effects on the reconstructed velocities. Using three mock catalogues with different average densities, we also study the effect of cosmic variance. In particular, one of them presents the same global features as found in observational catalogues that extend to 80 Mpc/h scales. We give recipes, checked using the aforementioned mock catalogues, to handle these particular observational effects, after having introduced them into the mock catalogues so as to quantitatively mimic the most densely sampled currently available galaxy catalogue of the nearby universe. Once biases have been taken care of, the typical resulting error in reconstructed velocities is typically about a quarter of the overall velocity dispersion, and without significant bias. We finally model our reconstruction errors to propose an improved Bayesian approach to measure Omega_m in an unbiased way by comparing the reconstructed velocities to the measured ones in distance space, even though they may be plagued by large errors. We show that, in the context of observational data, a nearly unbiased estimator of Omega_m may be built using MAK reconstruction.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 05:15:20 GMT" }, { "version": "v2", "created": "Sun, 29 Jul 2007 01:06:52 GMT" }, { "version": "v3", "created": "Fri, 12 Oct 2007 08:38:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Lavaux", "G.", "" ], [ "Mohayaee", "R.", "" ], [ "Colombi", "S.", "" ], [ "Tully", "R. B.", "" ], [ "Bernardeau", "F.", "" ], [ "Silk", "J.", "" ] ]
0707.3484
Bei Jia
Bei Jia and Xi-Guo Lee
Small Cosmological Constants from a Modified Randall-Sundrum Model
6 pages
null
null
null
hep-th
null
We study a mechanism, inspired from the mechanism for generating the gauge hierarchy in Randall-Sundrum model, to investigate the cosmological constant problem. First we analyze the bulk cosmological constant and brane vacuum energies in RS model. We show that the five-dimensional bulk cosmological constant and the vacuum energies of the two branes all obtain their natural values. Finally we argue how we can generate a small four-dimensional effective cosmological constant on the branes through modifying the original RS model.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 05:22:30 GMT" }, { "version": "v2", "created": "Thu, 18 Oct 2007 02:17:23 GMT" } ]
2007-10-18T00:00:00
[ [ "Jia", "Bei", "" ], [ "Lee", "Xi-Guo", "" ] ]
0707.3485
Kuntal Misra
Kuntal Misra (1), Dave Pooley (2), Poonam Chandra (3,4), D. Bhattacharya (5), Alak K. Ray (6), Ram Sagar (1), Walter H. G. Lewin (7) ((1) Aryabhatta Research Institute of Observational Sciences, Manora Peak, Nainital, India, (2) Astronomy Department, University of California at Berkeley, Berkeley (3) National Radio Astronomy Observatory, Charlottesville (4) University of Virginia, Charlottesville (5) Raman Research Institute, Bangalore, India, (6) Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, India, (7) Center for Space Research and Department of Physics, Massachusetts Institute of Technology, Cambridge)
Type IIP Supernova SN 2004et: A Multi-Wavelength Study in X-Ray, Optical and Radio
13 Figures, Accepted for Publication in MNRAS
null
10.1111/j.1365-2966.2007.12258.x
null
astro-ph
null
We present X-ray, broad band optical and low frequency radio observations of the bright type IIP supernova SN 2004et. The \cxo observed the supernova at three epochs, and the optical coverage spans a period of $\sim$ 470 days since explosion. The X-ray emission softens with time, and we characterise the X-ray luminosity evolution as $\Lx \propto t^{-0.4}$. We use the observed X-ray luminosity to estimate a mass-loss rate for the progenitor star of $\sim \ee{2}{-6} M_\odot \mathrm{yr}^{-1}$. The optical light curve shows a pronounced plateau lasting for about 110 days. Temporal evolution of photospheric radius and color temperature during the plateau phase is determined by making black body fits. We estimate the ejected mass of $^{56}$Ni to be 0.06 $\pm$ 0.03 M$_\odot$. Using the expressions of Litvinova & Nad\"{e}zhin (1985) we estimate an explosion energy of (0.98 $\pm$ 0.25) $\times 10^{51}$ erg. We also present a single epoch radio observation of SN 2004et. We compare this with the predictions of the model proposed by Chevalier et al. (2006). These multi-wavelength studies suggest a main sequence progenitor mass of $\sim$ 20 M$_\odot$ for SN 2004et.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 05:24:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Misra", "Kuntal", "" ], [ "Pooley", "Dave", "" ], [ "Chandra", "Poonam", "" ], [ "Bhattacharya", "D.", "" ], [ "Ray", "Alak K.", "" ], [ "Sagar", "Ram", "" ], [ "Lewin", "Walter H. G.", "" ] ]
0707.3486
Mark Goresky
Mark Goresky, Nancy Hingston
Loop Products and Closed Geodesics
63 pages
Duke Math. J. 150, no. 1 (2009), 117-209
10.1215/00127094-2009-049
null
math.AT math.DG
null
We show the Chas-Sullivan product (on the homology of the free loop space of a Riemannian manifold) is related to the Morse index of its closed geodesics. We construct related products in the cohomology of the free loop space and of the based loop space, and show they are nontrivial.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 05:54:51 GMT" } ]
2019-12-19T00:00:00
[ [ "Goresky", "Mark", "" ], [ "Hingston", "Nancy", "" ] ]
0707.3487
Ward Struyve
W. Struyve, H. Westman
A minimalist pilot-wave model for quantum electrodynamics
LaTex, 17 pages, no figures; v2 minor corrections, journal version
Proc. R. Soc. A 463, 3115-3129 (2007)
10.1098/rspa.2007.0144
null
quant-ph hep-th
null
We present a way to construct a pilot-wave model for quantum electrodynamics. The idea is to introduce beables corresponding only to the bosonic degrees of freedom and not to the fermionic degrees of freedom of the quantum state. We show that this is sufficient to reproduce the quantum predictions. The beables will be field beables corresponding to the electromagnetic field and they will be introduced in a similar way to that of Bohm's model for the free electromagnetic field. Our approach is analogous to the situation in non-relativistic quantum theory, where Bell treated spin not as a beable but only as a property of the wavefunction. After presenting this model we also discuss a simple way for introducing additional beables that represent the fermionic degrees of freedom.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 05:56:06 GMT" }, { "version": "v2", "created": "Fri, 21 Dec 2007 14:58:55 GMT" } ]
2008-04-09T00:00:00
[ [ "Struyve", "W.", "" ], [ "Westman", "H.", "" ] ]
0707.3488
Arvind Rajaraman
Jason Kumar, Arvind Rajaraman, James D. Wells
Probing the Green-Schwarz Mechanism at the Large Hadron Collider
14 pages, references added
Phys.Rev.D77:066011,2008
10.1103/PhysRevD.77.066011
null
hep-ph
null
We investigate the phenomenology of new abelian gauge bosons, which we denote as $X$ bosons, that suffer a mixed anomaly with the Standard Model, but are made self-consistent by the Green-Schwarz mechanism. A distinguishing aspect of the resulting effective theory is the decay of $X$ bosons into Standard Model gauge bosons, $X\to ZZ, WW, \gamma Z$. We compute the production cross-section of the $X$ boson from vector boson fusion at the Large Hadron Collider. We study the $pp\to X\to ZZ\to 4l$ signal, and analyze the prospects of discovery. We argue that such a discovery could indirectly probe high energies, even up to the string scale.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 06:04:46 GMT" }, { "version": "v2", "created": "Thu, 15 Nov 2007 04:57:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Kumar", "Jason", "" ], [ "Rajaraman", "Arvind", "" ], [ "Wells", "James D.", "" ] ]
0707.3489
Gregory Arone
Gregory Arone
Derivatives of embedding functors I: the stable case
58 pages, 1 figure. This is a major rewrite of the previously posted version. The proof has been thoroughly reorganized, and we hope it has become simpler and more direct (the new version is 17 pages shorter than the previous one)
null
10.1112/jtopol/jtp019
null
math.AT
null
For smooth manifolds $M$ and $N$, let $\Ebar(M, N)$ be the homotopy fiber of the map $\Emb(M, N)\longrightarrow \Imm(M, N)$. Consider the functor from the category of Euclidean spaces to the category of spectra, defined by the formula $V\mapsto \Sigma^\infty\Ebar(M, N\times V)$. In this paper, we describe the Taylor polynomials of this functor, in the sense of M. Weiss' orthogonal calculus, in the case when $N$ is a nice open submanifold of a Euclidean space. This leads to a description of the derivatives of this functor when $N$ is a tame stably parallelizable manifold (we believe that the parallelizability assumption is not essential). Our construction involves a certain space of rooted forests (or, equivalently, a space of partitions) with leaves marked by points in $M$, and a certain ``homotopy bundle of spectra'' over this space of trees. The $n$-th derivative is then described as the ``spectrum of restricted sections'' of this bundle. This is the first in a series of two papers. In the second part, we will give an analogous description of the derivatives of the functor $\Ebar(M, N\times V)$, involving a similar construction with certain spaces of connected graphs (instead of forests) with points marked in $M$.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:09:05 GMT" }, { "version": "v2", "created": "Mon, 28 Apr 2008 15:52:35 GMT" } ]
2014-02-26T00:00:00
[ [ "Arone", "Gregory", "" ] ]
0707.3490
Anatoly Panchenkov N
A. N. Panchenkov
Econophysics and Financial-Economic Monitoring
23 pages
null
null
TN-1-5-17.01.07
physics.soc-ph
null
The author solves two problems: formation of object of econophysics, creation of the general theory of financial-economic monitoring. In the first problem he studied two fundamental tasks: a choice of conceptual model and creation of axiomatic base. It is accepted, that the conceptual model of econophysics is a concrete definition of entropy conceptual model. Financial and economic monitoring is considered as monitoring of flows on entropy manifold of phase space - on a Diffusion field.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 06:38:02 GMT" } ]
2007-07-25T00:00:00
[ [ "Panchenkov", "A. N.", "" ] ]
0707.3491
Jolanta Brodzicka
J. Brodzicka, H. Palka, et al (for the Belle Collaboration)
Observation of a new D_sJ meson in B+->D0BD0K+ decays
submitted to Phys. Rev. Lett
Phys.Rev.Lett.100:092001, 2008
10.1103/PhysRevLett.100.092001
null
hep-ex
null
We report the observation of a new $D_{sJ}$ meson produced in $B^{+} \to \bar{D}^{0} D_{sJ} \to \bar{D}^{0} D^{0} K^{+}$. This state has a mass of $M=2708 \pm 9 ^{+11}_{-10} \rm{MeV}/{\it c}^{2}$, a width $\Gamma = 108 \pm 23 ^{+36}_{-31} ~\rm{MeV}/ {\it c}^{2}$ and a $1^{-}$ spin-parity. The results are based on an analysis of 449 million $B\bar{B}$ events collected at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+} e^{-}$ collider.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 07:05:04 GMT" }, { "version": "v2", "created": "Fri, 1 Feb 2008 07:56:53 GMT" } ]
2019-08-13T00:00:00
[ [ "Brodzicka", "J.", "" ], [ "Palka", "H.", "" ] ]
0707.3492
Sergei Gninenko
S. N. Gninenko
Limit on the electric charge-nonconserving $\mu^+ \to invisible$ decay
5 pages, 2 Figure, to appear in PRD
Phys.Rev.D76:055004,2007
10.1103/PhysRevD.76.055004
null
hep-ph hep-ex
null
The first limit on the branching ratio of the electric charge-nonconserving invisible muon decay $Br(\mu^+ \to invisible) < 5.2 \times 10^{-3}$ is obtained from the recently reported results on new determination of the Fermi constant from muon decays. The results of a feasibility study of a new proposed experiment for a sensitive search for this decay mode at the level of a few parts in 10^{11} are presented. Constrains on the $\tau \to invisible$ decay rate are discussed. These leptonic charge-nonconserving processes may hold in four-dimensional world in models with infinite extra dimensions, thus making their searches complementary to collider experiments probing new physics.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 14:21:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Gninenko", "S. N.", "" ] ]
0707.3493
Behrouz Mirza
A. Akhtari Zavareh, A. Hojjati, B. Mirza
Generation of large scale magnetic fields by coupling to curvature and dilaton field
22 pages
Prog.Theor.Phys.117:803-822,2007
10.1143/PTP.117.803
null
astro-ph
null
We investigate the generation of large scale magnetic fields in the universe from quantum fluctuations produced in the inflationary stage. By coupling these quantum fluctuations to the dilaton field and Ricci scalar, we show that the magnetic fields with the strength observed today can be produced. We consider two situations: First, the evolution of dilaton ends at the onset of the reheating stage. Second, the dilaton continues its evolution after reheating and then decays. In both cases, we come back to the usual Maxwell equations after inflation and then calculate present magnetic fields.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 07:18:28 GMT" } ]
2008-11-26T00:00:00
[ [ "Zavareh", "A. Akhtari", "" ], [ "Hojjati", "A.", "" ], [ "Mirza", "B.", "" ] ]
0707.3494
Urs Wiedemann A
Sebastian Sapeta, Urs Achim Wiedemann
Jet hadrochemistry as a characteristics of jet quenching
15 pages, 7 figures, LaTex
Eur.Phys.J.C55:293-302,2008
10.1140/epjc/s10052-008-0592-8
CERN-PH-TH/2007-111
hep-ph
null
Jets produced in nucleus-nucleus collisions at the LHC are expected to be strongly modified due to the interaction of the parton shower with the dense QCD matter. Here, we point out that jet quenching can leave signatures not only in the longitudinal and transverse jet energy and multiplicity distributions, but also in the hadrochemical composition of the jet fragments. In particular, we show that even in the absence of medium effects at or after hadronization, the medium-modification of the parton shower can result in significant changes in jet hadrochemistry. We discuss how jet hadrochemistry can be studied within the high-multiplicity environment of nucleus-nucleus collisions at the LHC.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 07:27:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Sapeta", "Sebastian", "" ], [ "Wiedemann", "Urs Achim", "" ] ]
0707.3495
Jiwen Zeng
Zeng Jiwen
Decomposition of Cartan Matrix and conjectures on Brauer character degrees
16 pages, changed contents and title
null
null
null
math.GR math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $G$ be a finite group and $N$ be a normal subgroup of $G$. Let $J=J(F[N])$ denote the Jacboson radical of $F[N]$ and $I={\rm Ann}(J)=\{\alpha \in F[G]|J\alpha =0\}$. We have another algebra $F[G]/I$. We study the decomposition of Cartan matrix of $F[G]$ according to $F[G/N]$ and $F[G]/I$. This decomposition establishs some connections between Cartan invariants and chief composition factors of $G$. We find that existing zero-defect $p$-block in $N$ depends on the properties of $I$ in $F[G]$ or Cartan invariants. When we consider the Cartan invariants for a block algebra $B$ of $G$, the decomposition is related to what kind of blocks in $N$ covered by $B$. We mainly consider a block $B$ of $G$ which covers a block $b$ of $N$ with $l(b)=1$. In two cases, we prove Willems' conjecture holds for these blocks, which covers some true cases by Holm and Willems. Furthermore We give an affirmative answer to a question by Holm and Willems in our cases. Some other results about Cartan invariants are presented in our paper.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 07:34:52 GMT" }, { "version": "v2", "created": "Mon, 20 Oct 2008 07:37:14 GMT" } ]
2008-10-20T00:00:00
[ [ "Jiwen", "Zeng", "" ] ]
0707.3496
Kohei Ueno
Kohei Ueno
Dynamics of symmetric holomorphic maps on projective spaces
12 pages
Publicacions Matematiques, 51 (2007), No. 2, 333-344
null
null
math.DS
null
We consider complex dynamics of a critically finite holomorphic map from P^k to P^k, which has symmetries associated with the symmetric group S_{k+2} acting on P^k, for each k \ge 1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 15:06:48 GMT" } ]
2018-03-29T00:00:00
[ [ "Ueno", "Kohei", "" ] ]
0707.3497
Micha{\l} Stukow
Michal Stukow
Generating mapping class groups of nonorientable surfaces with boundary
null
Advances in Geometry 10/2 (2010), 249-273
10.1515/advgeom.2010.010
null
math.GT
null
We obtain simple generating sets for various mapping class groups of a nonorientable surface with punctures and/or boundary. We also compute the abelianizations of these mapping class groups.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 07:50:59 GMT" } ]
2014-02-18T00:00:00
[ [ "Stukow", "Michal", "" ] ]
0707.3498
Chung-Hou Chung
Chung-Hou Chung, Gergely Zarand and Peter W\"olfle
Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and Numerical Renormalization Group analysis
6 pages, 7 figures
null
10.1103/PhysRevB.77.035120
null
cond-mat.mes-hall cond-mat.str-el
null
We study numerically and analytically the dynamical (AC) conductance through a two-dot system, where only one of the dots is coupled to the leads but it is also side-coupled to the other dot through an antiferromagnetic exchange (RKKY) interaction. In this case the RKKY interaction gives rise to a ``two-stage Kondo effect'' where the two spins are screened by two consecutive Kondo effects. We formulate a renormalized scaling theory that captures remarkably well the cross-over from the strongly conductive correlated regime to the low temperature low conductance state. Our analytical formulas agree well with our numerical renormalization group results. The frequency dependent current noise spectrum is also discussed.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 07:55:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Chung", "Chung-Hou", "" ], [ "Zarand", "Gergely", "" ], [ "Wölfle", "Peter", "" ] ]
0707.3499
Tim Van der Linden
Julia Goedecke and Tim Van der Linden
A comparison theorem for simplicial resolutions
16 pages
J. Goedecke and T. Van der Linden, A comparison theorem for simplicial resolutions, J. Homotopy and Related Structures 2 (2007), no. 1, 109-126
null
null
math.AT math.CT
null
It is well known that Barr and Beck's definition of comonadic homology makes sense also with a functor of coefficients taking values in a semi-abelian category instead of an abelian one. The question arises whether such a homology theory has the same convenient properties as in the abelian case. Here we focus on independence of the chosen comonad: conditions for homology to depend on the induced class of projectives only.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:23:43 GMT" }, { "version": "v2", "created": "Mon, 8 Oct 2007 11:50:22 GMT" } ]
2009-04-16T00:00:00
[ [ "Goedecke", "Julia", "" ], [ "Van der Linden", "Tim", "" ] ]
0707.3500
Andrey Chugunov Mr.
A.I. Chugunov (1), H.E. DeWitt (2), D.G. Yakovlev (1) ((1) Ioffe Institute; (2) LLNL)
Coulomb tunneling for fusion reactions in dense matter: Path integral Monte Carlo versus mean field
13 pages, 7 figures, to appear in Phys. Rev. D
Phys.Rev.D76:025028,2007
10.1103/PhysRevD.76.025028
null
astro-ph nucl-th
null
We compare Path Integral Monte Carlo calculations by Militzer and Pollock (Phys. Rev. B 71, 134303, 2005) of Coulomb tunneling in nuclear reactions in dense matter to semiclassical calculations assuming WKB Coulomb barrier penetration through the radial mean-field potential. We find a very good agreement of two approaches at temperatures higher than ~1/5 of the ion plasma temperature. We obtain a simple parameterization of the mean field potential and of the respective reaction rates. We analyze Gamow-peak energies of reacting ions in various reaction regimes and discuss theoretical uncertainties of nuclear reaction rates taking carbon burning in dense stellar matter as an example.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:27:07 GMT" } ]
2008-11-26T00:00:00
[ [ "Chugunov", "A. I.", "" ], [ "DeWitt", "H. E.", "" ], [ "Yakovlev", "D. G.", "" ] ]
0707.3501
Shiping Feng
Li Cheng and Shiping Feng
Doping and energy evolution of spin dynamics in the electron-doped cuprate superconductor Pr$_{0.88}$LaCe$_{0.12}$CuO$_{4-\delta}$
8 pages, 4 figures, added discussions, replotted figures, and updated references, accepted for publication in Phys. Rev. B
Phys. Rev. B 77, 054518 (2008)
10.1103/PhysRevB.77.054518
null
cond-mat.supr-con cond-mat.str-el
null
The doping and energy evolution of the magnetic excitations of the electron-doped cuprate superconductor Pr$_{0.88}$LaCe$_{0.12}$CuO$_{4-\delta}$ in the superconducting state is studied based on the kinetic energy driven superconducting mechanism. It is shown that there is a broad commensurate scattering peak at low energy, then the resonance energy is located among this low energy commensurate scattering range. This low energy commensurate scattering disperses outward into a continuous ring-like incommensurate scattering at high energy. The theory also predicts a dome shaped doping dependent resonance energy.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:27:23 GMT" }, { "version": "v2", "created": "Thu, 14 Feb 2008 01:41:38 GMT" } ]
2008-02-28T00:00:00
[ [ "Cheng", "Li", "" ], [ "Feng", "Shiping", "" ] ]
0707.3502
Luigi Foschini
Elena Pian (1), Luigi Foschini (2), Gabriele Ghisellini (3) ((1) INAF - Trieste Astronomical Observatory, (2) INAF - IASF, Bologna, (3) INAF - Brera Astronomical Observatory)
INTEGRAL and Swift Observations of Blazars in Outburst
12 pages, 5 figures, Proceedings of the Frascati Workshop 2007 (Vulcano, May 28 - June 2, 2007)
null
null
null
astro-ph
null
The blazars 3C 454.3, PKS 0537-441 and PKS 2155-304 are traditionally known to be among the most active sources of this class. They emit at all frequencies, up to the gamma-rays, and are good probes of multiwavelength nuclear variability. The first two have also luminous broad emission line regions. We have recently monitored them with various facilities, including Swift and INTEGRAL, and have interpreted their variations with models of non-thermal radiation from a relativistic jet. In particular, we have tested for the first two sources the hypothesis that the variability is produced within the jet through internal shocks, i.e. collisions of relativistic plasma blobs. This allows a parameterization of all physical quantities as functions of the bulk Lorentz factor. We have made the critical assumption that every flaring episode is characterized by a fixed amount of energy. The model reproduces brilliantly the multiwavelength data and especially the gamma-ray spectra, when available. The model is not applicable to PKS 2155-304, the variability of which is caused by independent variations of few individual parameters.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 12:43:56 GMT" } ]
2007-07-25T00:00:00
[ [ "Pian", "Elena", "" ], [ "Foschini", "Luigi", "" ], [ "Ghisellini", "Gabriele", "" ] ]
0707.3503
Poh-Boon Phua
P. B. Phua and W. J. Lai
Simple Coherent Polarization Manipulation Scheme for Generating High Power Radially Polarized Beam
Submitting for publication
null
10.1364/OE.15.014251
null
physics.optics
null
We present a simple novel scheme that converts a Gaussian beam into an approximated radially polarized beam using coherent polarization manipulation together with Poynting walk-off in birefringent crystals. Our scheme alleviates the interferometric stability required by previous schemes that implemented this coherent mode summation using Mach-Zehnder-like interferometers. A symmetrical arrangement of two walk-off crystals with a half-wave plate, allows coherence control even when the laser has short temporal coherence length. We generated 14 watts of radially polarized beam from an Ytterbium fiber laser, only limited by the available fiber laser power.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:49:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Phua", "P. B.", "" ], [ "Lai", "W. J.", "" ] ]
0707.3504
Nicolas Champagnat
Nicolas Champagnat (INRIA Sophia Antipolis / INRIA Lorraine / IECN), Sylvie Roelly
Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions
null
Electronic Journal of Probability 13, 25 (2008) 777-810
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A multitype Dawson-Watanabe process is conditioned, in subcritical and critical cases, on non-extinction in the remote future. On every finite time interval, its distribution is absolutely continuous with respect to the law of the unconditioned process. A martingale problem characterization is also given. Several results on the long time behavior of the conditioned mass process|the conditioned multitype Feller branching diffusion are then proved. The general case is first considered, where the mutation matrix which models the interaction between the types, is irreducible. Several two-type models with decomposable mutation matrices are analyzed too.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:50:43 GMT" }, { "version": "v2", "created": "Tue, 9 Dec 2008 16:02:28 GMT" } ]
2011-12-05T00:00:00
[ [ "Champagnat", "Nicolas", "", "INRIA Sophia Antipolis / INRIA Lorraine / IECN" ], [ "Roelly", "Sylvie", "" ] ]
0707.3505
Melchior
A.-L. Melchior, F. Combes
Molecular content of a type-Ia SN host galaxy at z=0.6
8 pages, 7 figures, accepted for publication in MNRAS
null
10.1111/j.1365-2966.2007.12261.x
null
astro-ph
null
We study the properties and the molecular content of the host of a type-Ia supernova (SN1997ey). This z=0.575 host is the brightest submillimetre source of the sample of type-Ia supernova hosts observed at 450um and 850um by Farrah et al.. Observations were performed at IRAM-30m to search for CO(2-1) and CO(3-2) lines in good weather conditions but no signal was detected. The star formation rate cannot exceed 50 M_sol/yr. These negative results are confronted with an optical analysis of a Keck spectrum and other data archives. We reach the conclusion that this galaxy is a late-type system (0.7 L^B_*), with a small residual star-formation activity (0.2 M_sol/yr) detected in the optical. No source of heating (AGN or starburst) is found to explain the submillimetre-continuum flux and the non-CO detection excludes the presence of a large amount of cold gas. We thus suggest that either the star formation activity is hidden in the nucleus (with A_V ~ 4) or this galaxy is passive or anemic and this flux might be associated with a background galaxy.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 08:56:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Melchior", "A. -L.", "" ], [ "Combes", "F.", "" ] ]
0707.3506
Frank Klinker
Frank Klinker
SUSY structures on deformed supermanifolds
20 pages. v2 coincides with the version published in Differential Geometry and its Applications
Differ. Geom. Appl. 26 (2008), 566-582
10.1016/j.difgeo.2007.11.036
null
math.DG
null
We construct a geometric structure on deformed supermanifolds as a certain subalgebra of the vector fields. In the classical limit we obtain a decoupling of the infinitesimal odd and even transformations, whereas in the semiclassical limit the result is a representation of the supersymmetry algebra. In the case of mass preserving structure we describe all high energy corrections to this algebra.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:07:43 GMT" }, { "version": "v2", "created": "Wed, 5 Mar 2008 11:19:31 GMT" } ]
2011-05-23T00:00:00
[ [ "Klinker", "Frank", "" ] ]
0707.3507
Damien Chablat
Daniel Kanaan (IRCCyN), Philippe Wenger (IRCCyN), Damien Chablat (IRCCyN)
Workspace and Kinematic Analysis of the VERNE machine
null
Dans International Conference on Advanced Intelligent Mechatronics - AIM, Z\"urich : Suisse (09/2007)
null
null
cs.RO
null
This paper describes the workspace and the inverse and direct kinematic analysis of the VERNE machine, a serial/parallel 5-axis machine tool designed by Fatronik for IRCCyN. This machine is composed of a three-degree-of-freedom (DOF) parallel module and a two-DOF serial tilting table. The parallel module consists of a moving platform that is connected to a fixed base by three non-identical legs. This feature involves (i) a simultaneous combination of rotation and translation for the moving platform, which is balanced by the tilting table and (ii) workspace whose shape and volume vary as a function of the tool length. This paper summarizes results obtained in the context of the European projects NEXT ("Next Generation of Productions Systems").
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:13:22 GMT" } ]
2007-07-25T00:00:00
[ [ "Kanaan", "Daniel", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ] ]
0707.3508
Raphael Galicher
R. Galicher, P. Baudoz
Expected Performance of a Self-Coherent Camera
6 pages, 4 figures
Comptes Rendus Physique 8:333-339,2007
10.1016/j.crhy.2007.03.004
null
astro-ph
null
Residual wavefront errors in optical elements limit the performance of coronagraphs. To improve their efficiency, different types of devices have been proposed to correct or calibrate these errors. In this paper, we study one of these techniques proposed by Baudoz et al. 2006 and called Self-Coherent Camera (SCC). The principle of this instrument is based on the lack of coherence between the stellar light and the planet that is searched for. After recalling the principle of the SCC, we simulate its performance under realistic conditions and compare it with the performance of differential imaging.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:18:46 GMT" } ]
2009-03-19T00:00:00
[ [ "Galicher", "R.", "" ], [ "Baudoz", "P.", "" ] ]
0707.3509
Laurent Decreusefond
Laurent Decreusefond (LTCI), Eduardo Ferraz (LTCI), Philippe Martins (LTCI)
Upper bound of loss probability in an OFDMA system with randomly located users
null
null
null
null
math.PR cs.IT cs.NI math.IT
null
For OFDMA systems, we find a rough but easily computed upper bound for the probability of loosing communications by insufficient number of sub-channels on downlink. We consider as random the positions of receiving users in the system as well as the number of sub-channels dedicated to each one. We use recent results of the theory of point processes which reduce our calculations to the first and second moments of the total required number of sub-carriers.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 15:12:13 GMT" } ]
2007-07-25T00:00:00
[ [ "Decreusefond", "Laurent", "", "LTCI" ], [ "Ferraz", "Eduardo", "", "LTCI" ], [ "Martins", "Philippe", "", "LTCI" ] ]
0707.3510
A. D. Alhaidari
A. D. Alhaidari
Analytic solution of the Schrodinger equation for an electron in the field of a molecule with an electric dipole moment
20 pages, 1 figure, 4 tables
Ann. Phys. 323, 1709 (2008)
10.1016/j.aop.2007.12.005
null
physics.chem-ph math-ph math.MP physics.atom-ph
null
We relax the usual diagonal constraint on the matrix representation of the eigenvalue wave equation by allowing it to be tridiagonal. This results in a larger solution space that incorporates an exact analytic solution for the non-central electric dipole potential cos(theta)/r^2, which was known not to belong to the class of exactly solvable potentials. As a result, we were able to obtain an exact analytic solution of the three-dimensional time-independent Schrodinger equation for a charged particle in the field of a point electric dipole that could carry a nonzero net charge. This problem models the interaction of an electron with a molecule (neutral or ionized) that has a permanent electric dipole moment. The solution is written as a series of square integrable functions that support a tridiagonal matrix representation for the angular and radial components of the wave operator. Moreover, this solution is for all energies, the discrete (for bound states) as well as the continuous (for scattering states). The expansion coefficients of the radial and angular components of the wavefunction are written in terms of orthogonal polynomials satisfying three-term recursion relations. For the Coulomb-free case, where the molecule is neutral, we calculate critical values for its dipole moment below which no electron capture is allowed. These critical values are obtained not only for the ground state, where it agrees with already known results, but also for excited states as well.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:20:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Alhaidari", "A. D.", "" ] ]
0707.3511
Alberto Bernacchia
Alberto Bernacchia
Continuous or discrete attractors in neural circuits? A self-organized switch at maximal entropy
4 pages, 2 figures
null
null
null
physics.bio-ph
null
A recent experiment suggests that neural circuits may alternatively implement continuous or discrete attractors, depending on the training set up. In recurrent neural network models, continuous and discrete attractors are separately modeled by distinct forms of synaptic prescriptions (learning rules). Here, we report a solvable network model, endowed with Hebbian synaptic plasticity, which is able to learn either discrete or continuous attractors, depending on the frequency of presentation of stimuli and on the structure of sensory coding. A continuous attractor is learned when experience matches sensory coding, i.e. when the distribution of experienced stimuli matches the distribution of preferred stimuli of neurons. In that case, there is no processing of sensory information and neural activity displays maximal entropy. If experience goes beyond sensory coding, processing is initiated and the continuous attractor is destabilized into a set of discrete attractors.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:34:19 GMT" }, { "version": "v2", "created": "Tue, 4 Sep 2007 16:08:45 GMT" } ]
2007-09-04T00:00:00
[ [ "Bernacchia", "Alberto", "" ] ]
0707.3512
Ingemar Bengtsson
Ingemar Bengtsson
A Curious Geometrical Fact About Entanglement
Talk at the Vaxjo conference on Quantum Theory: Reconsideration of Foundations - 4
null
10.1063/1.2827333
null
quant-ph
null
I sketch how the set of pure quantum states forms a phase space, and then point out a curiousity concerning maximally entangled pure states: they form a minimal Lagrangian submanifold of the set of all pure states. I suggest that this curiousity should have an interesting physical interpretation.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:34:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Bengtsson", "Ingemar", "" ] ]
0707.3513
Hongwu Liu
H. W. Liu, T. Fujisawa, Y. Ono, H. Inokawa, A. Fujiwara, K. Takashina, Y. Hirayama
Pauli-Spin-Blockade Transport through a Silicon Double Quantum Dot
10 pages,3 figures
Phys.Rev.B 77, 073310 (2008)
10.1103/PhysRevB.77.073310
null
cond-mat.mes-hall
null
We present measurements of resonant tunneling through discrete energy levels of a silicon double quantum dot formed in a thin silicon-on-insulator layer. In the absence of piezoelectric phonon coupling, spontaneous phonon emission with deformation-potential coupling accounts for inelastic tunneling through the ground states of the two dots. Such transport measurements enable us to observe a Pauli spin blockade due to effective two-electron spin-triplet correlations, evident in a distinct bias-polarity dependence of resonant tunneling through the ground states. The blockade is lifted by the excited-state resonance by virtue of efficient phonon emission between the ground states. Our experiment demonstrates considerable potential for investigating silicon-based spin dynamics and spin-based quantum information processing.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:41:04 GMT" }, { "version": "v2", "created": "Fri, 22 Feb 2008 01:05:10 GMT" } ]
2009-11-13T00:00:00
[ [ "Liu", "H. W.", "" ], [ "Fujisawa", "T.", "" ], [ "Ono", "Y.", "" ], [ "Inokawa", "H.", "" ], [ "Fujiwara", "A.", "" ], [ "Takashina", "K.", "" ], [ "Hirayama", "Y.", "" ] ]
0707.3514
Eve C. Ostriker
Christopher F. McKee and Eve C. Ostriker
Theory of Star Formation
120 pages, to appear in ARAA. No changes from v1 text; permission statement added
Ann.Rev.Astron.Astrophys.45:565-687,2007
10.1146/annurev.astro.45.051806.110602
null
astro-ph
null
We review current understanding of star formation, outlining an overall theoretical framework and the observations that motivate it. A conception of star formation has emerged in which turbulence plays a dual role, both creating overdensities to initiate gravitational contraction or collapse, and countering the effects of gravity in these overdense regions. The key dynamical processes involved in star formation -- turbulence, magnetic fields, and self-gravity -- are highly nonlinear and multidimensional. Physical arguments are used to identify and explain the features and scalings involved in star formation, and results from numerical simulations are used to quantify these effects. We divide star formation into large-scale and small-scale regimes and review each in turn. Large scales range from galaxies to giant molecular clouds (GMCs) and their substructures. Important problems include how GMCs form and evolve, what determines the star formation rate (SFR), and what determines the initial mass function (IMF). Small scales range from dense cores to the protostellar systems they beget. We discuss formation of both low- and high-mass stars, including ongoing accretion. The development of winds and outflows is increasingly well understood, as are the mechanisms governing angular momentum transport in disks. Although outstanding questions remain, the framework is now in place to build a comprehensive theory of star formation that will be tested by the next generation of telescopes.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 15:30:43 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 21:45:04 GMT" } ]
2008-11-26T00:00:00
[ [ "McKee", "Christopher F.", "" ], [ "Ostriker", "Eve C.", "" ] ]
0707.3515
A Khodam-Mohammadi
A. Khodam-Mohammadi
Charged Rotating Black Branes in Various Dimensions
PhD thesis, 130 pages and 23 figures. arXiv admin note: substantial text overlap with arXiv:gr-qc/9610038 by other authors
null
null
null
hep-th
null
In this thesis, two different aspects of asymptotically charged rotating black branes in various dimensions are studied. In the first part, the thermodynamics of these spacetimes is investigated, while in the second part the no hair theorem for these spacetimes in four dimensions is considered. In part I, first, the Euclidean actions of a d-dimensional charged rotating black brane are computed through the use of the counterterms renormalization method both in the canonical and the grand-canonical ensemble, and it is shown that the logarithmic divergencies associated to the Weyl anomalies and matter field vanish. Second, a Smarr-type formula for the mass as a function of the entropy, the angular momenta and the electric charge is obtained, which shows that these quantities satisfy the first law of thermodynamics. Third, by using the conserved quantities and the Euclidean actions, the thermodynamics potentials of the system in terms of the temperature, the angular velocities and the electric potential are obtained both in the canonical and the grand-canonical ensemble. Fourth, a stability analysis in these two ensembles is performed, which shows that the system is thermally stable. This is in commensurable with the fact that there is no Hawking-Page phase transition for black object with zero curvature horizon. Finally, the logarithmic correction of the entropy due to the thermal fluctuation around the equilibrium is calculated. In part II, the cosmological defects are studied, and it is shown that the Abelian Higgs field equations in the background of a four-dimensional rotating charged black string have vortex solutions.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 09:57:06 GMT" } ]
2014-08-02T00:00:00
[ [ "Khodam-Mohammadi", "A.", "" ] ]
0707.3516
Marcello Giroletti
M. Giroletti
Jet Properties and Evolution in Small and Intermediate Scale Objects
Invited talk; proceedings of "Extragalactic Jets", Girdwood, Alaska, 21-24 May, 2007; 10 pgs, uses customized asp2006.sty
null
null
null
astro-ph
null
Kinematic and spectral studies are improving our knowledge of the age distribution in compact radio sources, providing evidence that small sources are generally very young. The properties of jets in objects spanning the size range from a few tens of parsecs to some kiloparsecs become then of particular interest. Because of our selection criteria and of the small scales involved, the properties of jets in the population of Compact Symmetric Objects (CSO) are not well known yet. Polarization properties seem to indicate a strong influence by the interaction with the dense surrounding medium, and some objects show evidence of relativistic bulk motion. More evolved jets are present in the class of Low Power Compact (LPC) sources and a number of cases are discussed here. Since it is becoming increasingly clear that not all these sources will survive to evolve into large scale radio galaxies, the question of the final evolution of the CSO and LPC population is also discussed, with examples of candidate dying sources.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:01:53 GMT" } ]
2007-07-25T00:00:00
[ [ "Giroletti", "M.", "" ] ]
0707.3517
Corneliu \c{S}ochichiu
Corneliu Sochichiu
On dilatation operator for a renormalizable theory
26 pages, no figures
JHEP 0709:025,2007
10.1088/1126-6708/2007/09/025
null
hep-th
null
Given a renormalizable theory we construct the dilatation operator, in the sense of generator of RG flow of composite operators. The generator is found as a differential operator acting on the space of normal symbols of composite operators in the theory. In the spirit of AdS/CFT correspondence, this operator is interpreted as the Hamiltonian of the dual theory. In the case of a field theory with non-abelian gauge symmetry the resulting system is a matrix model. The one-loop case is analyzed in details and it is shown that we reproduce known results from N=4 supersymmetric Yang-Mills theory.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:19:21 GMT" }, { "version": "v2", "created": "Tue, 28 Aug 2007 09:00:33 GMT" } ]
2009-11-18T00:00:00
[ [ "Sochichiu", "Corneliu", "" ] ]
0707.3518
Jorge Garcia Rojas
Jorge Garcia-Rojas and Cesar Esteban (Instituto de Astrofisica de Canarias, Spain)
On the abundance discrepancy problem in HII regions
14 pages, 8 figures, 9 tables. Accepted for publication in the ApJ
null
10.1086/521871
null
astro-ph
null
The origin of the abundance discrepancy is one of the key problems in the physics of photoionized nebula. In this work, we analize and discuss data for a sample of Galactic and extragalactic HII regions where this abundance discrepancy has been determined. We find that the abundance discrepancy factor (ADF) is fairly constant and of the order of 2 in all the available sample of HII regions. This is a rather different behaviour than that observed in planetary nebulae, where the ADF shows a much wider range of values. We do not find correlations between the ADF and the O/H, O++/H+ ratios, the ionization degree, Te(High), Te(Low)/ Te(High), FWHM, and the effective temperature of the main ionizing stars within the observational uncertainties. These results indicate that whatever mechanism is producing the abundance discrepancy in HII regions it does not substantially depend on those nebular parameters. On the contrary, the ADF seems to be slightly dependent on the excitation energy, a fact that is consistent with the predictions of the classical temperature fluctuations paradigm. Finally, we obtain that Te values obtained from OII recombination lines in HII regions are in agreement with those obtained from collisionally excited line ratios, a behaviour that is again different from that observed in planetary nebulae. These similar temperature determinations are in contradiction with the predictions of the model based on the presence of chemically inhomogeneous clumps but are consistent with the temperature fluctuations paradigm. We conclude that all the indications suggest that the physical mechanism responsible of the abundance discrepancy in HII regions and planetary nebulae are different.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:23:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Garcia-Rojas", "Jorge", "", "Instituto de Astrofisica de\n Canarias, Spain" ], [ "Esteban", "Cesar", "", "Instituto de Astrofisica de\n Canarias, Spain" ] ]
0707.3519
Camille Bonvin Mrs
Camille Bonvin, Ruth Durrer, Pedro G. Ferreira, Glenn Starkman and Tom G. Zlosnik
Generalized Einstein-Aether theories and the Solar System
16 pages, 1 figure, new appendix A on asymptotic flatness
Phys.Rev.D77:024037,2008
10.1103/PhysRevD.77.024037
null
astro-ph
null
It has been shown that generalized Einstein-Aether theories may lead to significant modifications to the non-relativistic limit of the Einstein equations. In this paper we study the effect of a general class of such theories on the Solar System. We consider corrections to the gravitational potential in negative and positive powers of distance from the source. Using measurements of the perihelion shift of Mercury and time delay of radar signals to Cassini, we place constraints on these corrections. We find that a subclass of generalized Einstein-Aether theories are compatible with these constraints.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:24:02 GMT" }, { "version": "v2", "created": "Tue, 6 Nov 2007 11:22:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Bonvin", "Camille", "" ], [ "Durrer", "Ruth", "" ], [ "Ferreira", "Pedro G.", "" ], [ "Starkman", "Glenn", "" ], [ "Zlosnik", "Tom G.", "" ] ]
0707.3520
Benedetta Ciardi
Benedetta Ciardi (MPA), Ruben Salvaterra (Milano Bicocca)
Lyalpha heating and its impact on early structure formation
7 pages, 5 figures, to be printed in MNRAS
null
10.1111/j.1365-2966.2007.12303.x
null
astro-ph
null
In this paper we have calculated the effect of Lyalpha photons emitted by the first stars on the evolution of the IGM temperature. We have considered both a standard Salpeter IMF and a delta-function IMF for very massive stars with mass 300 M_sun. We find that the Lyalpha photons produced by the stellar populations considered here are able to heat the IGM at z<25, although never above ~100 K. Stars with a Salpeter IMF are more effective as, due to the contribution from small-mass long-living stars, they produce a higher Lyalpha background. Lyalpha heating can affect the subsequent formation of small mass objects by producing an entropy floor that may limit the amount of gas able to collapse and reduce the gas clumping.We find that the gas fraction in halos of mass below ~ 5 x 10^6 M_sun is less than 50% (for the smallest masses this fraction drops to 1% or less) compared to a case without Lyalpha heating. Finally, Lyalpha photons heat the IGM temperature above the CMB temperature and render the 21cm line from neutral hydrogen visible in emission at z<15.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:28:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Ciardi", "Benedetta", "", "MPA" ], [ "Salvaterra", "Ruben", "", "Milano Bicocca" ] ]
0707.3521
Erlend Forn{\ae}ss Wold
Stefan Borell, Frank Kutzschebauch, Erlend Fornaess Wold
Proper holomorphic disks in the complement of varieties in \C^2
null
null
null
null
math.CV
null
For any closed analytic set X in C^2 there exists a proper holomorphic embedding of the unit disk into C^2 such that the image avoids X.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:44:17 GMT" } ]
2007-07-25T00:00:00
[ [ "Borell", "Stefan", "" ], [ "Kutzschebauch", "Frank", "" ], [ "Wold", "Erlend Fornaess", "" ] ]
0707.3522
Olaf Lechtenfeld
Olaf Lechtenfeld
Supersymmetric noncommutative solitons
13 pages, 2 figures; talk given during "Noncommutative Spacetime Geometries" at Alessandria, March 2007, and "Noncommutative Geometry and Physics" at Orsay, April 2007
J.Phys.Conf.Ser.103:012016,2008
10.1088/1742-6596/103/1/012016
null
hep-th
null
I consider a supersymmetric Bogomolny-type model in 2+1 dimensions originating from topological string theory. By a gauge fixing this model is reduced to a supersymmetric U(n) chiral model with a Wess-Zumino-Witten-type term in 2+1 dimensions. After a noncommutative extension of the model, I employ the dressing method to construct explicit multi-soliton configurations on noncommutative R^{2,1|2N}.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:01:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Lechtenfeld", "Olaf", "" ] ]
0707.3523
Robert Eder
R. Eder
From cluster to solid - the variational cluster approximation applied to NiO
Revtex, 4 pages, 2 eps-figures
null
10.1103/PhysRevB.76.241103
null
cond-mat.str-el
null
The variational cluster approximation is applied to the calculation of the single particle spectral function of NiO. Trial self energies and the numerical value of the Luttinger-Ward functional are obtained by exact diagonalization of NiO6-clusters and the single particle parameters of the clusters serve as variational parameters to obtain a stationary point of the grand potential of the lattice system. Good agreement with experiment is obtained.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:02:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Eder", "R.", "" ] ]
0707.3524
Anton Tikhonov Valerievich
Anton V. Tikhonov and Anatoly A. Klypin
Voids in the Local Volume: a limit on appearance of a galaxy in a DM halo
5 pages, 1 figure
Proceedings of "Dark Galaxies and Lost Barions" IAU Symposium 244, 2007
10.1017/S1743921307013944
null
astro-ph
null
Current explanation of the overabundance of dark matter subhalos in the Local Group (LG) indicates that there maybe a limit on mass of a halo, which can host a galaxy. This idea can be tested using voids in the distribution of galaxies: at some level small voids should not contain any (even dwarf) galaxies. We use observational samples complete to M_B = -12 with distances less than 8 Mpc to construct the void function (VF): the distribution of sizes of voids empty of any galaxies. There are ~30 voids with sizes ranging from 1 to 5 Mpc. We then study the distribution of dark matter halos in very high resolution simulations of the LCDM model. The theoretical VF matches the observations remarkably well only if we use halos with circular velocities larger than 45 +/- 10 km/s. This agrees with the Local Group predictions. There are smaller halos in the voids, but they should not produce any luminous matter. Small voids look quite similar to their giant cousins: the density has a minimum at the center of a void and it increases as we get closer to the border. Small nonluminous halos inside the void form a web of tiny filaments. Thus, both the Local Group data and the nearby voids indicate that isolated halos below 45 +/- 10 km/s must not host galaxies and that small (few Mpc) voids are truly dark.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 10:56:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Tikhonov", "Anton V.", "" ], [ "Klypin", "Anatoly A.", "" ] ]
0707.3525
Lorenzo Iorio
Lorenzo Iorio
On the orbital and physical parameters of the HDE 226868/Cygnus X-1 binary system
Latex2e, 7 pages, 1 table, 4 figures. To appear in ApSS (Astrophysics and Space Science)
Astrophys.SpaceSci.315:335-340,2008
10.1007/s10509-008-9839-y
null
gr-qc astro-ph
null
In this paper we explore the consequences of the recent determination of the mass m=(8.7 +/- 0.8)M_Sun of Cygnus X-1, obtained from the Quasi-Periodic Oscillation (QPO)-photon index correlation scaling, on the orbital and physical properties of the binary system HDE 226868/Cygnus X-1. By using such a result and the latest spectroscopic optical data of the HDE 226868 supergiant star we get M=(24 +/- 5)M_Sun for its mass. It turns out that deviations from the third Kepler law significant at more than 1-sigma level would occur if the inclination i of the system's orbital plane to the plane of the sky falls outside the range 41-56 deg: such deviations cannot be due to the first post-Newtonian (1PN) correction to the orbital period because of its smallness; interpreted in the framework of the Newtonian theory of gravitation as due to the stellar quadrupole mass moment Q, they are unphysical because Q would take unreasonably large values. By conservatively assuming that the third Kepler law is an adequate model for the orbital period we obtain i=(48 +/- 7) deg which yields for the relative semimajor axis a=(42 +/- 9)R_Sun. Our estimate for the Roche's lobe of HDE 226868 is r_M = (21 +/- 6)R_Sun.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:00:19 GMT" }, { "version": "v2", "created": "Mon, 26 May 2008 16:01:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Iorio", "Lorenzo", "" ] ]
0707.3526
Nansen Petrosyan
Nansen Petrosyan
Cohomology of Split Group Extensions and Characteristic Classes
13 pages
Journal of Algebra, Volume 321, Issue 10, 15 May 2009, Pages 2916-2925
null
null
math.AT math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
There are characteristic classes that are the obstructions to the vanishing of the differentials in the Lyndon-Hochischild-Serre spectral sequence of an extension of an integral lattice L by a group G. These characteristic classes exist in a given page of the spectral sequence provided the differentials in the previous pages are all zero. When L decomposes into a sum of G-sublattices, we show that there are defining relations between the characteristic classes of L and the characteristic classes of its summands.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:07:24 GMT" }, { "version": "v2", "created": "Thu, 18 Jun 2009 16:03:21 GMT" } ]
2009-06-18T00:00:00
[ [ "Petrosyan", "Nansen", "" ] ]
0707.3527
Mousumi Das
M. Das (RRI), S. S. McGaugh (UMD), N. Kantharia (NCRA), S. N. Vogel (UMD)
Radio Observations of AGN in Low Surface Brightness Galaxies
To appear in proceedings IAU Symp 244, 'Dark Galaxies and Lost Baryons', June 2007, 2 pages including 1 figure
null
10.1017/S1743921307014238
null
astro-ph
null
We present preliminary results of a study of the low frequency radio continuum emission from the nuclei of Giant Low Surface Brightness (LSB) galaxies. We have mapped the emission and searched for extended features such as radio lobes/jets associated with AGN activity. LSB galaxies are poor in star formation and generally less evolved compared to nearby bright spirals. This paper presents low frequency observations of 3 galaxies; PGC 045080 at 1.4 GHz, 610 MHz, 325MHz, UGC 1922 at 610 MHz and UGC 6614 at 610 MHz. The observations were done with the GMRT. Radio cores as well as extended structures were detected and mapped in all three galaxies; the extended emission may be assocated with jets/lobes associated with AGN activity. Our results indicate that although these galaxies are optically dim, their nuclei can host AGN that are bright in the radio domain.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:22:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Das", "M.", "", "RRI" ], [ "McGaugh", "S. S.", "", "UMD" ], [ "Kantharia", "N.", "", "NCRA" ], [ "Vogel", "S. N.", "", "UMD" ] ]
0707.3528
Dieter H. Mayer
Akhtam Dzhalilov, Isabelle Liousse, Dieter Mayer
Singular measures of circle homeomorphisms with two break points
null
Discrete and continuous dynamical systems, 24, no. 2 (2009) 381-403
null
null
math.DS math.PR
null
Let $T_{f}$ be a circle homeomorphism with two break points $a_{b},c_{b}$ and irrational rotation number $\varrho_{f}$. Suppose that the derivative $Df$ of its lift $f$ is absolutely continuous on every connected interval of the set $S^{1}\backslash\{a_{b},c_{b}\}$, that $DlogDf \in L^{1}$ and the product of the jump ratios of $ Df $ at the break points is nontrivial, i.e. $\frac{Df_{-}(a_{b})}{Df_{+}(a_{b})}\frac{Df_{-}(c_{b})}{Df_{+}(c_{b})}\neq1$. We prove that the unique $T_{f}$- invariant probability measure $\mu_{f}$ is then singular with respect to Lebesgue measure $l$ on $S^{1}$.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:35:06 GMT" } ]
2010-11-22T00:00:00
[ [ "Dzhalilov", "Akhtam", "" ], [ "Liousse", "Isabelle", "" ], [ "Mayer", "Dieter", "" ] ]
0707.3529
Oleg Kargaltsev
G. G. Pavlov, O. Kargaltsev, and W. F. Brisken
Chandra Observation of PSR B1823-13 and its Pulsar Wind Nebula
13 pages, 8 figures and 3 tables; submitted to ApJ
null
10.1086/525842
null
astro-ph
null
We report on an observation of the Vela-like pulsar B1823-13 and its synchrotron nebula with Chandra.The pulsar's spectrum fits a power-law model with a photon index Gamma_PSR=2.4 for the plausible hydrogen column density n_H=10^{22} cm^{-2}, corresponding to the luminosity L_PSR=8*10^{31} ergs s^{-1} in the 0.5-8 keV band, at a distance of 4 kpc. The pulsar radiation likely includes magnetospheric and thermal components, but they cannot be reliably separated because of the small number of counts detected and strong interstellar absorption. The pulsar is surrounded by a compact, 25''x 10'', pulsar wind nebula (PWN) elongated in the east-west direction, which includes a brighter inner component, 7''x 3'', elongated in the northeast-southwest direction. The slope of the compact PWN spectrum is Gamma_comp=1.3, and the 0.5-8 keV luminosity is L_comp~3*10^{32} ergs s^{-1}. The compact PWN is surrounded by asymmetric diffuse emission (extended PWN) seen up to at least 2.4' south of the pulsar, with a softer spectrum (Gamma_ext=1.9), and the 0.5-8 keV luminosity L_ext~10^{33}-10^{34} ergs s^{-1}. We also measured the pulsar's proper motion using archival VLA data: \mu_\alpha=23.0+/-2.5 mas yr^{-1}, \mu_\delta=-3.9+/-3.3 mas yr^{-1}, which corresponds to the transverse velocity v_perp=440 km s^{-1}. The direction of the proper motion is approximately parallel to the elongation of the compact PWN, but it is nearly perpendicular to that of the extended PWN and to the direction towards the center of the bright VHE gamma-ray source HESS J1825-137, which is likely powered by PSR B1823-13.
[ { "version": "v1", "created": "Tue, 24 Jul 2007 11:50:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Pavlov", "G. G.", "" ], [ "Kargaltsev", "O.", "" ], [ "Brisken", "W. F.", "" ] ]