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0704.2801
Alan L. T. Paterson
Alan L. T. Paterson
Continuous family groupoids
null
Homology, Homotopy and Applications 2 (2000), 89-104
null
null
math.KT
null
In this paper, we define and investigate the properties of continuous family groupoids. This class of groupoids is necessary for investigating the groupoid index theory arising from the equivariant Atiyah-Singer index theorem for families, and is also required in noncommutative geometry. The class includes that of Lie groupoids, and the paper shows that, like Lie groupoids, continuous family groupoids always admit (an essentially unique) continuous left Haar system of smooth measures. We also show that the action of a continuous family groupoid $G$ on a continuous family $G$-space fibered over another continuous family $G$-space $Y$ can always be regarded as an action of the continuous family groupoid $G*Y$ on an ordinary $G*Y$-space.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 22:14:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Paterson", "Alan L. T.", "" ] ]
0704.2802
Alan L. T. Paterson
Alan L. T. Paterson and Amy E. Welch
Tychonoff's theorem for locally compact space and an elementary approach to the topology of path spaces
null
Proceedings of the American Mathematical Society 133(2005), 2761-2770
null
null
math.OA
null
The path spaces of a directed graph play an important role in the study of graph $\css$. These are topological spaces that were originally constructed using groupoid and inverse semigroup techniques. In this paper, we develop a simple, purely topological, approach to this construction, based on Tychonoff's theorem. In fact, the approach is shown to work even for higher dimensional graphs satisfying the finitely aligned condition, and we construct the groupoid of the graph. Motivated by these path space results, we prove a Tychonoff theorem for an infinite, countable product of locally compact spaces. The main idea is to include certain finite products of the spaces along with the infinite product. We show that the topology is, in a reasonable sense, a pointwise topology.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 22:19:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Paterson", "Alan L. T.", "" ], [ "Welch", "Amy E.", "" ] ]
0704.2803
Jure Leskovec
Jure Leskovec, Mary McGlohon, Christos Faloutsos, Natalie Glance, Matthew Hurst
Cascading Behavior in Large Blog Graphs
null
null
null
null
physics.soc-ph physics.data-an
null
How do blogs cite and influence each other? How do such links evolve? Does the popularity of old blog posts drop exponentially with time? These are some of the questions that we address in this work. Our goal is to build a model that generates realistic cascades, so that it can help us with link prediction and outlier detection. Blogs (weblogs) have become an important medium of information because of their timely publication, ease of use, and wide availability. In fact, they often make headlines, by discussing and discovering evidence about political events and facts. Often blogs link to one another, creating a publicly available record of how information and influence spreads through an underlying social network. Aggregating links from several blog posts creates a directed graph which we analyze to discover the patterns of information propagation in blogspace, and thereby understand the underlying social network. Not only are blogs interesting on their own merit, but our analysis also sheds light on how rumors, viruses, and ideas propagate over social and computer networks. Here we report some surprising findings of the blog linking and information propagation structure, after we analyzed one of the largest available datasets, with 45,000 blogs and ~ 2.2 million blog-postings. Our analysis also sheds light on how rumors, viruses, and ideas propagate over social and computer networks. We also present a simple model that mimics the spread of information on the blogosphere, and produces information cascades very similar to those found in real life.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 22:37:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Leskovec", "Jure", "" ], [ "McGlohon", "Mary", "" ], [ "Faloutsos", "Christos", "" ], [ "Glance", "Natalie", "" ], [ "Hurst", "Matthew", "" ] ]
0704.2804
Yi Lin
Yi Lin
The Equivariant cohomology theory of twisted generalized complex manifolds
32 pages. This is the revised version which is going to appear in Commu. in Math. Physics. A few minor errors in version 2 are corrected
Commun.Math.Phys.281:469-497,2008
10.1007/s00220-008-0482-9
null
math.DG hep-th math.SG
null
It has been shown recently by Kapustin and Tomasiello that the mathematical notion of Hamiltonian actions on twisted generalized K\"ahler manifolds is in perfect agreement with the physical notion of general $(2,2)$ gauged sigma models with three-form fluxes. In this article, we study the twisted equivariant cohomology theory of Hamiltonian actions on $H$-twisted generalized complex manifolds. If the manifold satisfies the $\bar{\partial}\partial$-lemma, we establish the equivariant formality theorem. If in addition, the manifold satisfies the generalized K\"ahler condition, we prove the Kirwan injectivity in this setting. We then consider the Hamiltonian action of a torus on an $H$-twisted generalized Calabi-Yau manifold and extend to this case the Duistermaat-Heckman theorem for the push-forward measure. As a side result, we show in this paper that the generalized K\"ahler quotient of a generalized K\"ahler vector space can never have a (cohomologically) non-trivial twisting. This gives a negative answer to a question asked by physicists whether one can construct $(2,2)$ gauged linear sigma models with non-trivial fluxes.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 23:18:14 GMT" }, { "version": "v2", "created": "Sat, 3 Nov 2007 00:32:58 GMT" }, { "version": "v3", "created": "Tue, 13 Nov 2007 16:04:44 GMT" } ]
2008-11-26T00:00:00
[ [ "Lin", "Yi", "" ] ]
0704.2805
Tsz Ho Chan
Tsz Ho Chan
Approximating reals by sums of rationals
8 pages
null
null
null
math.NT
null
We consider the question of approximating any real number $\alpha$ by sums of $n$ rational numbers $\frac{a_1}{q_1} + \frac{a_2}{q_2} + ... + \frac{a_n}{q_n}$ with denominators $1 \leq q_1, q_2, ..., q_n \leq N$. This leads to an inquiry on approximating a real number by rational numbers with a prescribed number of prime factors in the denominator.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 23:18:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Chan", "Tsz Ho", "" ] ]
0704.2806
Yoshimasa Hidaka
Kenji Fukushima and Yoshimasa Hidaka
Light projectile scattering off the Color Glass Condensate
18 pages, 4 figures, references added, typos corrected
JHEP 0706:040,2007
10.1088/1126-6708/2007/06/040
RBRC-667
hep-ph
null
We systematically compute the Gaussian average of Wilson lines inherent in the Color Glass Condensate, which provides useful formulae for evaluation of the scattering amplitude in the collision of a light projectile and a heavy target.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 00:03:08 GMT" }, { "version": "v2", "created": "Thu, 7 Jun 2007 14:35:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Fukushima", "Kenji", "" ], [ "Hidaka", "Yoshimasa", "" ] ]
0704.2807
Tatsuo Kobayashi
Pyungwon Ko, Tatsuo Kobayashi, Jae-hyeon Park, Stuart Raby
String-derived D4 flavor symmetry and phenomenological implications
17 pages, no figure
Phys.Rev.D76:035005,2007; Erratum-ibid.D76:059901,2007
10.1103/PhysRevD.76.035005 10.1103/PhysRevD.76.059901
null
hep-ph hep-th
null
In this paper we show how some flavor symmetries may be derived from the heterotic string, when compactified on a 6D orbifold. In the body of the paper we focus on the $D_4$ family symmetry, recently obtained in $Z_3 \times Z_2$ orbifold constructions. We show how this flavor symmetry constrains fermion masses, as well as the soft SUSY breaking mass terms. Flavor symmetry breaking can generate the hierarchy of fermion masses and at the same time the flavor symmetry suppresses large flavor changing neutral current processes.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 00:30:12 GMT" } ]
2014-02-18T00:00:00
[ [ "Ko", "Pyungwon", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Park", "Jae-hyeon", "" ], [ "Raby", "Stuart", "" ] ]
0704.2808
Aditya Ramamoorthy
Aditya Ramamoorthy
Minimum cost distributed source coding over a network
First version apppeared in the Proceedings of the 2007 IEEE International Symposium on Information Theory, Nice, France, June 24 - 29, 2007. The second version is an expanded journal submission under consideration at the IEEE Transactions on Information Theory
null
null
null
cs.IT cs.NI math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This work considers the problem of transmitting multiple compressible sources over a network at minimum cost. The aim is to find the optimal rates at which the sources should be compressed and the network flows using which they should be transmitted so that the cost of the transmission is minimal. We consider networks with capacity constraints and linear cost functions. The problem is complicated by the fact that the description of the feasible rate region of distributed source coding problems typically has a number of constraints that is exponential in the number of sources. This renders general purpose solvers inefficient. We present a framework in which these problems can be solved efficiently by exploiting the structure of the feasible rate regions coupled with dual decomposition and optimization techniques such as the subgradient method and the proximal bundle method.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 17:41:35 GMT" }, { "version": "v2", "created": "Wed, 12 Aug 2009 22:56:01 GMT" } ]
2009-08-13T00:00:00
[ [ "Ramamoorthy", "Aditya", "" ] ]
0704.2809
Qing-Hong Cao
Qing-Hong Cao, Jose Wudka, C.-P. Yuan
Search for New Physics via Single Top Production at the LHC
version to appear in Physics Letters B
Phys.Lett.B658:50-56,2007
10.1016/j.physletb.2007.10.057
UCRHEP-T427
hep-ph
null
We consider single-top production as a probe for new physics effects at the Large Hadron Collider (LHC). We argue that for natural theories a small deviation from the Standard Model tree-level couplings in this reaction can be parameterized by 3 higher dimension operators. Precision measurement of these effective couplings in the single-top events, via studying their interference effects with the SM contributions, can discriminate several new physics models. In particular, combining the production rate of three single-top production modes will provide a severe test of the Little Higgs model with T-parity. We find that at the LHC, a 5% accuracy in the measurement of the single-top cross sections would probe the new physics scale up to about $3 {\rm TeV}$.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 02:25:11 GMT" }, { "version": "v2", "created": "Fri, 16 Nov 2007 00:52:10 GMT" } ]
2008-11-26T00:00:00
[ [ "Cao", "Qing-Hong", "" ], [ "Wudka", "Jose", "" ], [ "Yuan", "C. -P.", "" ] ]
0704.2810
Kotaro Yamada
Kentaro Saji, Masaaki Umehara and Kotaro Yamada
Behavior of corank one singular points on wave fronts
20 pages, 12 figures
null
null
null
math.DG
null
Let $M^2$ be an oriented 2-manifold and $f:M^2\to R^3$ a $C^\infty$-map. A point $p\in M^2$ is called a singular point if $f$ is not an immersion at $p$. The map $f$ is called a front (or wave front), if there exists a unit $C^\infty$-vector field $\nu$ such that the image of each tangent vector $df(X)$ $(X\in TM^2)$ is perpendicular to $\nu$, and the pair $(f,\nu)$ gives an immersion into $R^3\times S^2$. In our previous paper, we gave an intrinsic formulation of wave fronts in $R^3$. In this paper, we shall investigate the behavior of cuspidal edges near corank one singular points and establish Gauss-Bonnet-type formulas under the intrinsic formulation.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 02:22:45 GMT" }, { "version": "v2", "created": "Fri, 18 May 2007 00:47:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Saji", "Kentaro", "" ], [ "Umehara", "Masaaki", "" ], [ "Yamada", "Kotaro", "" ] ]
0704.2811
Nandakishore Santhi
Nandakishore Santhi
On Algebraic Decoding of $q$-ary Reed-Muller and Product-Reed-Solomon Codes
5 pages, 5 figures, to be presented at 2007 IEEE International Symposium on Information Theory, Nice, France (ISIT 2007)
null
10.1109/ISIT.2007.4557130
LA-UR-07-0469
cs.IT cs.DM math.IT
null
We consider a list decoding algorithm recently proposed by Pellikaan-Wu \cite{PW2005} for $q$-ary Reed-Muller codes $\mathcal{RM}_q(\ell, m, n)$ of length $n \leq q^m$ when $\ell \leq q$. A simple and easily accessible correctness proof is given which shows that this algorithm achieves a relative error-correction radius of $\tau \leq (1 - \sqrt{{\ell q^{m-1}}/{n}})$. This is an improvement over the proof using one-point Algebraic-Geometric codes given in \cite{PW2005}. The described algorithm can be adapted to decode Product-Reed-Solomon codes. We then propose a new low complexity recursive algebraic decoding algorithm for Reed-Muller and Product-Reed-Solomon codes. Our algorithm achieves a relative error correction radius of $\tau \leq \prod_{i=1}^m (1 - \sqrt{k_i/q})$. This technique is then proved to outperform the Pellikaan-Wu method in both complexity and error correction radius over a wide range of code rates.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 00:22:46 GMT" } ]
2016-11-17T00:00:00
[ [ "Santhi", "Nandakishore", "" ] ]
0704.2812
Yu-Xiao Liu
Yu-Xiao Liu, Li Zhao, Xin-Hui Zhang, Yi-Shi Duan
Fermions in Self-dual Vortex Background on a String-like Defect
16 pages, no figures; V2: 16 pages with some changes, accepted by Nucl. Phys. B
Nucl.Phys.B785:234-245,2007
10.1016/j.nuclphysb.2007.05.018
null
hep-th
null
By using the self-dual vortex background on extra two-dimensional Riemann surfaces in 5+1 dimensions, the localization mechanism of bulk fermions on a string-like defect with the exponentially decreasing warp-factor is obtained. We give the conditions under which localized spin 1/2 and 3/2 fermions can be obtained.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 03:28:46 GMT" }, { "version": "v2", "created": "Mon, 14 May 2007 09:02:14 GMT" } ]
2008-11-26T00:00:00
[ [ "Liu", "Yu-Xiao", "" ], [ "Zhao", "Li", "" ], [ "Zhang", "Xin-Hui", "" ], [ "Duan", "Yi-Shi", "" ] ]
0704.2813
Toufik Mansour Dr.
Toufik Mansour, Matthias Schork, Yidong Sun
Motzkin numbers of higher rank: Generating function and explicit expression
null
J. Integer Seq. 10 (2007), Article 07.7.4
null
null
math.CO
null
The generating function and an explicit expression is derived for the (colored) Motzkin numbers of higher rank introduced recently. Considering the special case of rank one yields the corresponding results for the conventional colored Motzkin numbers for which in addition a recursion relation is given.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 04:37:53 GMT" }, { "version": "v2", "created": "Sun, 13 May 2007 14:53:19 GMT" } ]
2007-10-06T00:00:00
[ [ "Mansour", "Toufik", "" ], [ "Schork", "Matthias", "" ], [ "Sun", "Yidong", "" ] ]
0704.2814
Qiang Liu
Qiang Liu and Shou-Li Peng
A Revised Generalized Kolmogorov-Sinai-like Entropy and Markov Shifts
11 pages
null
null
null
nlin.CD
null
The Kolmogorov-Sinai entropy in the sense of Tsallis under Bernoulli shifts was obtained by Meson and Vericat [J. Math. Phys. 37, 4480(1996)]. In this paper, we propose a revised generalized Kolmogorov-Sinai-q entropy under Markov shifts. The form of this generalized entropy with factor q is nonextensive. The new generalized entropy contains the classical Kolmogorov-Sinai entropy and Renyi entropy as well as Bernoulli shifts as special cases. Applying the generalized entropy we discuss its approximate behavior qualitatively, the entropy rate and the sensitive value q^* of the nonextensive parameter q, which may exit in the interval (-2,2) nearby where the generalized entropy return to the classical K-S entropy.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 04:52:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Liu", "Qiang", "" ], [ "Peng", "Shou-Li", "" ] ]
0704.2815
Asterios Pantokratoras
Asterios Pantokratoras
Comments on six papers published by S.P. Anjali Devi and R. Kandasamy
Comments on six papers published by S.P. Anjali Devi and R. Kandasamy in Heat and Mass Transfer, ZAMM, Mechanics Research Communications, International Communications in Heat and Mass Transfer, Communications in Numerical Methods in Engineering, Journal of Computational and Applied Mechanics
null
null
null
physics.flu-dyn
null
Comments on six papers published by S.P. Anjali Devi and R. Kandasamy in Heat and Mass Transfer, ZAMM, Mechanics Research Communications, International Communications in Heat and Mass Transfer, Communications in Numerical Methods in Engineering, Journal of Computational and Applied Mechanics In conclusion all the above papers are of very low quality, written without care and are partly or completely wrong.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 05:52:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Pantokratoras", "Asterios", "" ] ]
0704.2816
Jay G. Wacker
Mariangela Lisanti, Jay G. Wacker
Unification and Dark Matter in a Minimal Scalar Extension of the Standard Model
10 pages, 7 figures; added references; corrected typos
null
null
SLAC-PUB-12480
hep-ph
null
The six Higgs doublet model is a minimal extension of the Standard Model that addresses dark matter and gauge coupling unification. Another Higgs doublet in a 5 representation of a discrete symmetry group, such as S_6, is added to the SM. The lightest components of the 5-Higgs are neutral, stable and serve as dark matter so long as the discrete symmetry is not broken. Direct and indirect detection signals, as well as collider signatures are discussed. The five-fold multiplicity of the dark matter decreases its mass and typically helps make the dark matter more visible in upcoming experiments.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 06:57:21 GMT" }, { "version": "v2", "created": "Fri, 15 Jun 2007 00:56:04 GMT" } ]
2011-11-09T00:00:00
[ [ "Lisanti", "Mariangela", "" ], [ "Wacker", "Jay G.", "" ] ]
0704.2817
Masaki Kashiwara
Naoya Enomoto and Masaki Kashiwara
Symmetric Crystals for $\gl_\infty$
39pages
Publ. Res. Inst. Math. Sci. 44 (2008), no. 3, 837--891
null
null
math.QA math.RT
null
In the preceding paper, we formulated a conjecture on the relations between certain classes of irreducible representations of affine Hecke algebras of type B and symmetric crystals for $\gl_\infty$. In the present paper, we prove the existence of the symmetric crystal and the global basis for $\gl_\infty$.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 08:15:47 GMT" } ]
2015-12-22T00:00:00
[ [ "Enomoto", "Naoya", "" ], [ "Kashiwara", "Masaki", "" ] ]
0704.2818
Kotaro Kohno
Kotaro Kohno (1), Koichiro Nakanishi (2), Masatoshi Imanishi (2) ((1) Institute of Astronomy, Univ. of Tokyo, (2) National Astronomical Observatory of Japan)
Compact starburst in the central regions of Seyfert galaxies
Conference proceedings to appear in "The Central Engine of Active Galactic Nuclei", ed. L. C. Ho and J.-M. Wang (San Francisco: ASP)
null
null
null
astro-ph
null
We have conducted a high-resolution ``3D'' imaging survey of the CO(1--0), HCN(1--0), and HCO$^+$(1--0) lines toward the central a few kpc regions of the Seyfert and starburst galaxies in the local universe using the Nobeyama Millimeter Array. We detected luminous HCN(1--0) emissions toward a considerable fraction of these Seyfert galaxies (10 of 12 in our sub-sample), which indicated that some of these Seyfert galaxies, such as NGC 3079, NGC 3227, NGC 4051, NGC 6764, and NGC 7479, are indeed accompanied with compact nuclear starburst, given the tight correlation between the HCN(1--0) luminosity and the star formation rate among star-forming galaxies. However, we suggest that the elevated HCN(1--0) emission from some of these Seyfert galaxies, including NGC 1068, NGC 1097, NGC 5033, and NGC 5194, does not signify the presence of massive starbursts there. This is because these Seyfert nuclei show abnormally high HCN(1--0)/HCO$^+$(1--0) ratios (2--3), which were never observed in the starburst nuclei in our sample. This could be attributed to the overabundance of HCN molecules in the X-ray dominated regions (XDRs) at the centers of these Seyfert galaxies.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 08:20:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Kohno", "Kotaro", "" ], [ "Nakanishi", "Koichiro", "" ], [ "Imanishi", "Masatoshi", "" ] ]
0704.2819
Alexander G. Ramm
A.G.Ramm
Wave scattering by small impedance particles in a medium
null
null
10.1016/j.physleta.2007.04.061
null
math-ph math.MP
null
The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can create a new material with the properties very different from the properties of the original material. Moreover, these very different properties occur although the total volume of the embedded small particles is negligible compared with the volume of the original material.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 15:07:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Ramm", "A. G.", "" ] ]
0704.2820
Sungeun Kim
S. Kim and C. Park
Topology of HI in the Large Magellanic Cloud
6 pages, 5 figures, accepted for publication in ApJ
Astrophys.J.663:244-248,2007
10.1086/518470
null
astro-ph
null
We have analyzed the HI aperture synthesis image of the Large Magellanic Cloud (LMC), using an objective and quantitative measure of topology to understand the HI distribution hosting a number of holes and clumps of various sizes in the medium. The HI distribution shows different topology at four different chosen scales. At the smallest scales explored (19-29 pc), the HI mass is distributed in such a way that numerous clumps are embedded on top of a low density background. At the larger scales from 73 to 194 pc, it shows a generic hole topology. These holes might have been formed mainly by stellar winds from hot stars. At the scales from 240 to 340 pc, slightly above the disk scale-height of the gaseous disk, major clumps in the HI map change the distribution to have a slight clump topology. These clumps include the giant cloud associations in the spiral arms and the thick filaments surrounding superholes. At the largest scales studied (390-485 pc), the hole topology is present again. Responsible to the hole topology at this scale are a few superholes which seem mainly associated with supernova explosions in the outer disk. The gaps between the bar and spiral arms have a minor effect on the topology at this scale.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 01:54:02 GMT" }, { "version": "v2", "created": "Mon, 23 Apr 2007 21:37:18 GMT" }, { "version": "v3", "created": "Tue, 1 May 2007 04:46:36 GMT" } ]
2009-06-23T00:00:00
[ [ "Kim", "S.", "" ], [ "Park", "C.", "" ] ]
0704.2821
Sungeun Kim
H-S. Kim, S. Kim, J.Y. Bak, M. Garcia, B. Brandl, K. Xiao, W. Walsh, R.C. Smith, S. Youn
IRAC Observations of CO J=4-3 High-Velocity Cloud in the 30 Doradus Complex in the Large Magellanic Cloud
17 pages, 7 figures, Submitted to ApJ
null
10.1086/521589
null
astro-ph
null
We compare the CO 2-1 observations against previously taken CO 4-3 observations and analyze the spatial distribution of young stellar objects (YSO's) within the cloud using the Spitzer IRAC observations of the 30 Doradus complex. Both peaks of CO 2-1 and 4-3 emitting clouds coincide with the densest region of the filaments where multiple shells are colliding. We find that the YSO's are clustered in the southern ridge of the warm and dense molecular gas clouds traced by CO J=4-3, indicating a filamentary structure of star formation throughout the 30 Doradus. We also find that some of Class I YSO's candidates which are likely to be associated with a high-velocity component of CO 4-3 emitting clouds are present. This is a bona fide place where the triggered star formation had happened and newly formed stars may have produced such a high-velocity outflow interacting with the surrounding molecular cloud material.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 02:25:37 GMT" }, { "version": "v2", "created": "Tue, 1 May 2007 05:12:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Kim", "H-S.", "" ], [ "Kim", "S.", "" ], [ "Bak", "J. Y.", "" ], [ "Garcia", "M.", "" ], [ "Brandl", "B.", "" ], [ "Xiao", "K.", "" ], [ "Walsh", "W.", "" ], [ "Smith", "R. C.", "" ], [ "Youn", "S.", "" ] ]
0704.2822
Yury Kozhedub Sergeevich
Y. S. Kozhedub, D. A. Glazov, A. N. Artemyev, N. S. Oreshkina, V. M. Shabaev, I. I. Tupitsyn, A. V. Volotka, and G. Plunien
QED calculation of the 2p1/2-2s and 2p3/2-2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium
10 pages, 2 tables
Phys. Rev. A 76, 012511 (2007)
10.1103/PhysRevA.76.012511
null
physics.atom-ph
null
We present the most accurate up-to-date theoretical values of the {2p_{1/2}}-{2s} and {2p_{3/2}}-{2s} transition energies and the ground-state hyperfine splitting in ${\rm Sc}^{18+}$. All two- and three-electron contributions to the energy values up to the two-photon level are treated in the framework of bound-state QED without $\aZ$-expansion. The interelectronic interaction beyond the two-photon level is taken into account by means of the large-scale configuration-interaction Dirac-Fock-Sturm (CI-DFS) method. The relativistic recoil correction is calculated with many-electron wave functions in order to take into account the electron-correlation effect. The accuracy of the transition energy values is improved by a factor of five compared to the previous calculations. The CI-DFS calculation of interelectronic-interaction effects and the evaluation of the QED correction in an effective screening potential provide significant improvement for the $2s$ hyperfine splitting. The results obtained are in a good agreement with recently published experimental data.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 09:44:49 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 17:38:42 GMT" } ]
2007-08-06T00:00:00
[ [ "Kozhedub", "Y. S.", "" ], [ "Glazov", "D. A.", "" ], [ "Artemyev", "A. N.", "" ], [ "Oreshkina", "N. S.", "" ], [ "Shabaev", "V. M.", "" ], [ "Tupitsyn", "I. I.", "" ], [ "Volotka", "A. V.", "" ], [ "Plunien", "G.", "" ] ]
0704.2823
Akira Ohnishi
A. Ohnishi, N. Kawamoto, K. Miura, K. Tsubakihara, H. Maekawa (Hokkaido U.)
Strong coupling limit/region of lattice QCD
Presented at Yukawa International Seminar (YKIS) 2006 on New Frontiers in QCD: Exotic Hadrons and Hadronic Matter, Kyoto, Japan, 20 Nov - 8 Dec 2006
Prog.Theor.Phys.Suppl.168:261-264,2007
10.1143/PTPS.168.261
null
nucl-th
null
We study the phase diagram of quark matter and nuclear properties based on the strong coupling expansion of lattice QCD. Both of baryon and finite coupling correction are found to have effects to extend the hadron phase to a larger mu direction relative to Tc. In a chiral RMF model with logarithmic sigma potential derived in the strong coupling limit of lattice QCD, we can avoid the chiral collapse and normal and hypernuclei properties are well described.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 10:23:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Ohnishi", "A.", "", "Hokkaido U." ], [ "Kawamoto", "N.", "", "Hokkaido U." ], [ "Miura", "K.", "", "Hokkaido U." ], [ "Tsubakihara", "K.", "", "Hokkaido U." ], [ "Maekawa", "H.", "", "Hokkaido U." ] ]
0704.2824
Christopher J. Hillar
Christopher J. Hillar
Sums of squares over totally real fields are rational sums of squares
10 pages, final version to appear in Proceedings of the AMS
null
null
null
math.AC math.OC math.RA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $K$ be a totally real number field with Galois closure $L$. We prove that if $f \in \mathbb Q[x_1,...,x_n]$ is a sum of $m$ squares in $K[x_1,...,x_n]$, then $f$ is a sum of \[4m \cdot 2^{[L: \mathbb Q]+1} {[L: \mathbb Q] +1 \choose 2}\] squares in $\mathbb Q[x_1,...,x_n]$. Moreover, our argument is constructive and generalizes to the case of commutative $K$-algebras. This result gives a partial resolution to a question of Sturmfels on the algebraic degree of certain semidefinite programing problems.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 11:35:51 GMT" }, { "version": "v2", "created": "Sat, 9 Jun 2007 21:16:35 GMT" }, { "version": "v3", "created": "Tue, 1 Apr 2008 02:46:59 GMT" }, { "version": "v4", "created": "Fri, 29 Aug 2008 19:01:05 GMT" } ]
2008-08-29T00:00:00
[ [ "Hillar", "Christopher J.", "" ] ]
0704.2825
Takatoshi Ichikawa
Takatoshi Ichikawa, Kouichi Hagino and Akira Iwamoto
Existence of One-Body Barrier Revealed in Deep Sub-Barrier Fusion
4 pages, 3 figures
Phys.Rev.C75:057603,2007
10.1103/PhysRevC.75.057603
null
nucl-th
null
Based on the adiabatic picture for heavy-ion reactions, in which the neck formation in the one-body system is taken into account, we propose a two-step model for fusion cross sections at deep subbarrier energies. This model consists of the capture process in the two-body potential pocket, which is followed by the penetration of the adiabatic one-body potential to reach a compound state after the touching configuration. We describe the former process with the coupled-channels framework, while the latter with the WKB approximation by taking into account the coordinate dependent inertia mass. The effect of the one-body barrier is important at incident energies below the potential energy at the touching configuration. We show that this model well accounts for the steep fall-off phenomenon of fusion cross sections at deep subbarrier energies for the $^{64}$Ni+$^{64}$Ni and $^{58}$Ni+$^{58}$Ni reactions.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 11:23:10 GMT" } ]
2008-11-26T00:00:00
[ [ "Ichikawa", "Takatoshi", "" ], [ "Hagino", "Kouichi", "" ], [ "Iwamoto", "Akira", "" ] ]
0704.2826
Nabil Kahale
Nabil Kahale
Analytic crossing probabilities for certain barriers by Brownian motion
Published in at http://dx.doi.org/10.1214/07-AAP488 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2008, Vol. 18, No. 4, 1424-1440
10.1214/07-AAP488
IMS-AAP-AAP488
math.PR math.FA math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We calculate crossing probabilities and one-sided last exit time densities for a class of moving barriers on an interval $[0,T]$ via Schwartz distributions. We derive crossing probabilities and first hitting time densities for another class of barriers on $[0,T]$ by proving a Schwartz distribution version of the method of images. Analytic expressions for crossing probabilities and related densities are given for new explicit and semi-explicit barriers.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 21:13:44 GMT" }, { "version": "v2", "created": "Thu, 28 Aug 2008 12:55:33 GMT" } ]
2008-08-28T00:00:00
[ [ "Kahale", "Nabil", "" ] ]
0704.2827
Takatoshi Ichikawa
Takatoshi Ichikawa, Kouichi Hagino and Akira Iwamoto
Systematics of threshold incident energy for deep sub-barrier fusion hindrance
5 pages, 3 figures
Phys.Rev.C75:064612,2007
10.1103/PhysRevC.75.064612
null
nucl-th
null
We systematically evaluate the potential energy at the touching configuration for heavy-ion reactions using various potential models. We point out that the energy at the touching point, especially that estimated with the Krappe-Nix-Sierk (KNS) potential, strongly correlates with the threshold incident energy for steep fall-off of fusion cross sections observed recently for several systems at extremely low energies. This clearly indicates that the steep fall-off phenomenon can be attributed to the dynamics after the target and projectile touch with each other, e.g., the tunneling process and the nuclear saturation property in the overlap region.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 12:14:22 GMT" } ]
2008-11-26T00:00:00
[ [ "Ichikawa", "Takatoshi", "" ], [ "Hagino", "Kouichi", "" ], [ "Iwamoto", "Akira", "" ] ]
0704.2828
Meredith Wills-Davey
M. J. Wills-Davey, C. E. DeForest, and J. O. Stenflo
Are "EIT Waves" Fast-Mode MHD Waves?
to be published in the Astrophysical Journal
Astrophys.J.664:556-562,2007
10.1086/519013
null
astro-ph
null
We examine the nature of large-scale, coronal, propagating wave fronts (``EIT waves'') and find they are incongruous with solutions using fast-mode MHD plane-wave theory. Specifically, we consider the following properties: non-dispersive single pulse manifestions, observed velocities below the local Alfven speed, and different pulses which travel at any number of constant velocities, rather than at the ``predicted'' fast-mode speed. We discuss the possibility of a soliton-like explanation for these phenomena, and show how it is consistent with the above-mentioned aspects.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 17:30:18 GMT" } ]
2009-06-23T00:00:00
[ [ "Wills-Davey", "M. J.", "" ], [ "DeForest", "C. E.", "" ], [ "Stenflo", "J. O.", "" ] ]
0704.2829
Anna Morozovska Nickolaevna
Anna N. Morozovska, Sergei V. Svechnikov, Eugene A. Eliseev, and Sergei V. Kalinin
Extrinsic Size Effect in Piezoresponse Force Microscopy of Thin Films
16 pages, 5 figures; To be submitted to Phys. Rev. B-Rapid Communications
null
10.1103/PhysRevB.76.054123
null
cond-mat.mtrl-sci
null
The extrinsic size effect in Piezoresponse Force Microscopy of ferroelectric and piezoelectric thin films on non-polar dielectric substrate is analyzed. Analytical expressions for effective piezoresponse, object transfer function components, and Rayleigh two-point resolution are obtained. These results can be broadly applied for effective piezoelectric response calculations in thin piezoelectric and ferroelectric films as well as surface polar layers e.g. in organic materials and bio-polymers. In particular, the effective piezoresponse strongly decreases with film thickness whereas the sharpness of domain stripes image increases due to the object transfer function spectrum broadening.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 12:49:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Morozovska", "Anna N.", "" ], [ "Svechnikov", "Sergei V.", "" ], [ "Eliseev", "Eugene A.", "" ], [ "Kalinin", "Sergei V.", "" ] ]
0704.2830
Shin-ichi Kimura
Shin-ichi Kimura, Noriaki Kimura and Haruyoshi Aoki
Low-Energy Electrodynamics of Heavy Quasiparticles in ZrZn2
5 pages, 5 figures
null
10.1143/JPSJ.76.084710
null
cond-mat.str-el cond-mat.mtrl-sci
null
The temperature dependence of the optical conductivity spectrum of an itinerant ferromagnetic material, ZrZn$_2$, was obtained and the dynamical effective mass and the scattering rate were derived. A renormalized Drude peak with a heavy effective mass developed at low temperatures. The effective mass rapidly increased below $\hbar\omega$ = 10 meV and at 10 K it was observed to be 3 times heavier than that at 300 K. The scattering rate also rapidly decreased below 10 meV at 10 K. These results indicate the creation of heavy quasiparticles at low temperatures due to spin fluctuations.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 13:00:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Kimura", "Shin-ichi", "" ], [ "Kimura", "Noriaki", "" ], [ "Aoki", "Haruyoshi", "" ] ]
0704.2831
Luis O. Silva
J. E. Santos, L. O. Silva, R. Bingham
White-light parametric instabilities in plasmas
6 pages, 3 figures, accepted for publication in Phys. Rev. Lett
null
10.1103/PhysRevLett.98.235001
null
physics.plasm-ph
null
Parametric instabilities driven by partially coherent radiation in plasmas are described by a generalized statistical Wigner-Moyal set of equations, formally equivalent to the full wave equation, coupled to the plasma fluid equations. A generalized dispersion relation for Stimulated Raman Scattering driven by a partially coherent pump field is derived, revealing a growth rate dependence, with the coherence width $\sigma$ of the radiation field, scaling with $1/\sigma$ for backscattering (three-wave process), and with $1/\sigma^{1/2}$ for direct forward scattering (four-wave process). Our results demonstrate the possibility to control the growth rates of these instabilities by properly using broadband pump radiation fields.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 13:22:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Santos", "J. E.", "" ], [ "Silva", "L. O.", "" ], [ "Bingham", "R.", "" ] ]
0704.2832
Wei-Xing Zhou
Miao-Ren Niu, Qin-Feng Liang, Wei-Xing Zhou, Fu-Chen Wang, Zun-Hong Yu (ECUST)
Endogenous and exogenous dynamics of pressure fluctuations in an impinging entrained-flow gasifier
This paper has been withdrawn
null
null
null
physics.flu-dyn
null
This paper has been withdrawn by the authors due to a fatal error in the analysis. The manuscript was submitted to Chemical Engineering Science. To clarify the situation, we copy the main comment from an anonymous referee here: "To my understanding, the authors analyze i = 1 ... 63 time series and calculate their mean and standard deviation. These time series correspond to individual, single ignition processes. Is this correct? If yes, these processes, as Fig. 3 shows very clearly, are not stationary, and the pressure difference (i.e., the signal) quickly decays to zero. In this case both the mean and the standard deviation are poorly defined, for example because both depend in a trivial fashion on the observation period T. I am not aware of any study (including those cited by the authors) which allows for any conclusion from such non-stationary signals. The results of Menezes and Barabasi are strictly only valid for stationary time series, and they cannot be applied at all in this case." We agree with this insightful comment that our data are not stationary and the method adopted in our manuscript does not apply. We do not see any possibility to correct this error and decide to withdraw it. We would like to thank gratefully the referee and apologize for any inconvenience caused by our oversight.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 14:09:31 GMT" }, { "version": "v2", "created": "Sun, 11 Nov 2007 13:54:04 GMT" } ]
2007-11-11T00:00:00
[ [ "Niu", "Miao-Ren", "", "ECUST" ], [ "Liang", "Qin-Feng", "", "ECUST" ], [ "Zhou", "Wei-Xing", "", "ECUST" ], [ "Wang", "Fu-Chen", "", "ECUST" ], [ "Yu", "Zun-Hong", "", "ECUST" ] ]
0704.2833
Sagun Chanillo
Sagun Chanillo and Juan J. Manfredi
Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds
13 pages
null
null
null
math.AP math.DG
null
We find sharp bounds for the norm inequality on a Pseudo-hermitian manifold, where the L^2 norm of all second derivatives of the function involving horizontal derivatives is controlled by the L^2 norm of the sub-Laplacian. Perturbation allows us to get a-priori bounds for solutions to sub-elliptic PDE in non-divergence form with bounded measurable coefficients. The method of proof is through a Bochner technique. The Heisenberg group is seen to be en extremal manifold for our inequality in the class of manifolds whose Ricci curvature is non-negative.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 15:21:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Chanillo", "Sagun", "" ], [ "Manfredi", "Juan J.", "" ] ]
0704.2834
Sundaram Thangavelu
S. Thangavelu
An analogue of Gutzmer's formula for Hermite expansions
15 pages
null
null
null
math.CA math.FA
null
We prove an analogue of Gutzmer's formula for Hermite expansions. As a consequence we obtain a new proof of a characterisation of the image of $ L^2(\R^n) $ under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 13:38:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Thangavelu", "S.", "" ] ]
0704.2835
Qing-Guo Huang
Qing-Guo Huang
Simplified Chain Inflation
8 pages, 1 figure; refs added
JCAP 0705:009,2007
10.1088/1475-7516/2007/05/009
null
hep-th
null
We propose a simplified chain inflation model and calculate the primordial power spectra of the scalar and tensor fluctuations. The spectral index and the tensor-scalar ratio are respectively 0.972 and 0.089 which are consistent with present cosmological observations.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 14:01:07 GMT" }, { "version": "v2", "created": "Wed, 25 Apr 2007 11:34:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Huang", "Qing-Guo", "" ] ]
0704.2836
Edward Sion
Ryan T.Hamilton, Joel A. Urban, Edward M. Sion, Adric R. Riedel, Elysse N. Voyer, John T. Marcy, Sarah L. Lakatos
An International Ultraviolet Explorer Archival Study of Dwarf Novae in Outburst
Accepted for publication in the ApJ, Part 1
null
10.1086/519065
null
astro-ph
null
We present a synthetic spectral analysis of nearly the entire far ultraviolet International Ultraviolet Explorer (IUE) archive of spectra of dwarf novae in or near outburst. The study includes 46 systems of all dwarf nova subtypes both above and below the period gap. The spectra were uniformly analyzed using synthetic spectral codes for optically thick accretion disks and stellar photospheres along with the best-available distance measurements or estimates. We present newly estimated accretion rates and discuss the implications of our study for disk accretion physics and CV evolution.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 14:04:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Hamilton", "Ryan T.", "" ], [ "Urban", "Joel A.", "" ], [ "Sion", "Edward M.", "" ], [ "Riedel", "Adric R.", "" ], [ "Voyer", "Elysse N.", "" ], [ "Marcy", "John T.", "" ], [ "Lakatos", "Sarah L.", "" ] ]
0704.2837
Paul Clark Dr
Paul C. Clark, Ralf S. Klessen and Ian A. Bonnell
Clump Lifetimes and the Initial Mass Function
7 pages, 3 figures, accepted to MNRAS
Mon.Not.Roy.Astron.Soc.379:57-62,2007
10.1111/j.1365-2966.2007.11896.x
null
astro-ph
null
Recent studies of dense clumps/cores in a number of regions of low-mass star formation have shown that the mass distribution of these clumps closely resembles the initial mass function (IMF) of field stars. One possible interpretation of these observations is that we are witnessing the fragmentation of the clouds into the IMF, and the observed clumps are bound pre-stellar cores. In this paper, we highlight a potential difficulty in this interpretation, namely that clumps of varying mass are likely to have systematically varying lifetimes. This timescale problem can effectively destroy the similarity bewteen the clump and stellar mass functions, such that a stellar-like clump mass function (CMF) results in a much steeper stellar IMF. We also discuss some ways in which this problem may be avoided.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 14:52:57 GMT" } ]
2009-06-23T00:00:00
[ [ "Clark", "Paul C.", "" ], [ "Klessen", "Ralf S.", "" ], [ "Bonnell", "Ian A.", "" ] ]
0704.2838
David Hernandez
David Hernandez
Kirillov-Reshetikhin conjecture : the general case
81 pages, 4 figures. The Drinfeld-Serre relations are not used in the proofs
Int. Math. Res. Not. 2010, no. 1, 149-193
null
null
math.QA math.RT
null
We prove the Kirillov-Reshetikhin (KR) conjecture in the general case : for all twisted quantum affine algebras we prove that the characters of KR modules solve the twisted Q-system and we get explicit formulas for the character of their tensor products (the untwisted simply-laced case was treated by Najakima, and the untwisted case by the author). The proof is uniform and provides several new developments for the representation theory of twisted quantum affine algebras, including twisted Frenkel-Reshetikhin q-characters (expected by Frenkel-Reshetikhin and Frenkel-Mukhin). We also prove the twisted T-system. As an application we get explicit formulas for the twisted q-characters of fundamental representations for all types, including the formulas for types D_4^{(3)}, E_6^{(2)} conjectured by Reshetikhin. We prove the formulas for KR modules in types A_n^{(2)} and D_4^{(3)} conjectured by Kuniba-Suzuki. Eventually our results imply the conjectural branching rules [HKOTT] to the quantum subalgebra of finite type.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 16:13:14 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 20:58:21 GMT" }, { "version": "v3", "created": "Wed, 13 Jun 2007 07:13:56 GMT" } ]
2010-04-07T00:00:00
[ [ "Hernandez", "David", "" ] ]
0704.2839
Reynier Peletier
Reynier F. Peletier (1), Jesus Falcon-Barroso (2,3), Roland Bacon (4), Michele Cappellari (5,3), Roger L. Davies (5), P.T. de Zeeuw (3), Eric Emsellem (4), Katia Ganda (1), Davor Krajnovic (5), Harald Kuntschner (6), Richard M. McDermid (3), Marc Sarzi (7), Glenn van de Ven (8,3) ((1) Kapteyn Institute, (2) ESTEC, (3) Sterrewacht Leiden, (4) Universite Lyon 1, CRAL (5) Oxford, (6) ESO, (7) CfAR University of Hertfordshire, (8) IAS Princeton)
The SAURON project - XI. Stellar Populations from Absorption Line Strength Maps of 24 Early-Type Spirals
Accepted for publication in MNRAS, 29 pages, 10 figures. Paper with Figures at full resolution available at http://www.strw.leidenuniv.nl/sauron/
Mon.Not.Roy.Astron.Soc.379:445-468,2007
10.1111/j.1365-2966.2007.11860.x
null
astro-ph
null
We present absorption line strength maps of a sample of 24 representative early-type spiral galaxies, mostly of type Sa, obtained as part of the SAURON survey of nearby galaxies using our custom-built integral-field spectrograph. Using high-quality spectra, spatially binned to a constant signal-to-noise, we measure several key age, metallicity and abundance ratio sensitive indices from the Lick/IDS system over a contiguous two-dimensional field including bulge and inner disc. We present maps of H beta, Fe 5015 and Mg b, for each galaxy The absorption line maps show that many galaxies contain some younger populations (<= 1 Gyr), distributed in small or large inner discs, or in circumnuclear star forming rings. In many cases these young stars are formed in circumnuclear mini-starbursts, which are dominating the light in the centres of some of the early-type spirals. These mini-starburst cause a considerable scatter in index-index diagrams such as Mg b- H beta and Mg b -Fe 5015, more than is measured for early-type galaxies. We find that the central regions of Sa galaxies display a wide range in ages, even within the galaxies. 50% of the sample show velocity dispersion drops in their centres. All of the galaxies of our sample lie on or below the Mg b- $\sigma$ relation for elliptical galaxies in the Coma cluster, and above the H beta absorption line - $\sigma$ relation for elliptical galaxies. If those relations are considered to be relations for the oldest local galaxies we see that our sample of spirals has a considerable scatter in age, with the largest scatter at the lowest $\sigma$. This is in disagreement with highly inclined samples, in which generally only old stellar populations are found in the central regions. All this can be understood if ... (see paper for rest of abstract)
[ { "version": "v1", "created": "Sat, 21 Apr 2007 17:52:00 GMT" }, { "version": "v2", "created": "Mon, 25 Jun 2007 20:41:43 GMT" } ]
2009-06-23T00:00:00
[ [ "Peletier", "Reynier F.", "" ], [ "Falcon-Barroso", "Jesus", "" ], [ "Bacon", "Roland", "" ], [ "Cappellari", "Michele", "" ], [ "Davies", "Roger L.", "" ], [ "de Zeeuw", "P. T.", "" ], [ "Emsellem", "Eric", "" ], [ "Ganda", "Katia", "" ], [ "Krajnovic", "Davor", "" ], [ "Kuntschner", "Harald", "" ], [ "McDermid", "Richard M.", "" ], [ "Sarzi", "Marc", "" ], [ "van de Ven", "Glenn", "" ] ]
0704.2840
Damiano Anselmi
Damiano Anselmi and Anna Benini
Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants
18 pages
JHEP0710:099,2007
10.1088/1126-6708/2007/10/099
IFUP-TH 2007-8
hep-th
null
We consider higher-derivative perturbations of quantum gravity and quantum field theories in curved space and investigate tools to calculate counterterms and short-distance expansions of Feynman diagrams. In the case of single higher-derivative insertions we derive a closed formula that relates the perturbed one-loop counterterms to the unperturbed Schwinger-DeWitt coefficients. In the more general case, we classify the contributions to the short-distance expansion and outline a number of simplification methods. Certain difficulties of the common differential technique in the presence of higher-derivative perturbations are avoided by a systematic use of the Campbell-Baker-Hausdorff formula, which in some cases reduces the computational effort considerably.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 16:30:14 GMT" }, { "version": "v2", "created": "Fri, 2 Nov 2007 14:31:22 GMT" } ]
2008-11-26T00:00:00
[ [ "Anselmi", "Damiano", "" ], [ "Benini", "Anna", "" ] ]
0704.2841
Lun Dong
Athina P. Petropulu, Lun Dong, H. Vincent Poor
A High-Throughput Cross-Layer Scheme for Distributed Wireless Ad Hoc Networks
6 pages, Appeared in the Proceedings of the 41st Annual Conference on Information Sciences and Systems, John Hopkins University, March 2007
null
null
null
cs.IT math.IT
null
In wireless ad hoc networks, distributed nodes can collaboratively form an antenna array for long-distance communications to achieve high energy efficiency. In recent work, Ochiai, et al., have shown that such collaborative beamforming can achieve a statistically nice beampattern with a narrow main lobe and low sidelobes. However, the process of collaboration introduces significant delay, since all collaborating nodes need access to the same information. In this paper, a technique that significantly reduces the collaboration overhead is proposed. It consists of two phases. In the first phase, nodes transmit locally in a random access fashion. Collisions, when they occur, are viewed as linear mixtures of the collided packets. In the second phase, a set of cooperating nodes acts as a distributed antenna system and beamform the received analog waveform to one or more faraway destinations. This step requires multiplication of the received analog waveform by a complex number, which is independently computed by each cooperating node, and which enables separation of the collided packets based on their final destination. The scheme requires that each node has global knowledge of the network coordinates. The proposed scheme can achieve high throughput, which in certain cases exceeds one.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 17:44:24 GMT" } ]
2007-07-13T00:00:00
[ [ "Petropulu", "Athina P.", "" ], [ "Dong", "Lun", "" ], [ "Poor", "H. Vincent", "" ] ]
0704.2842
Rafael G. Campos
Rafael G. Campos and Francisco Mejia
Quadrature formulas for the Laplace and Mellin transforms
10 pages, 5 figures
null
null
null
math.NA
null
A discrete Laplace transform and its inversion formula are obtained by using a quadrature of the continuous Fourier transform which is given in terms of Hermite polynomials and its zeros. This approach yields a convergent discrete formula for the two-sided Laplace transform if the function to be transformed falls off rapidly to zero and satisfy certain conditions of integrability, achieving convergence also for singular functions. The inversion formula becomes a quadrature formula for the Bromwich integral. This procedure also yields a quadrature formula for the Mellin transform and its corresponding inversion formula that can be generalized straightforwardly for functions of several variables.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 17:55:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Campos", "Rafael G.", "" ], [ "Mejia", "Francisco", "" ] ]
0704.2843
Marcus Pinto B
Jean-Loic Kneur, Marcus Benghi Pinto and Rudnei O. Ramos
The 2d Gross-Neveu Model at Finite Temperature and Density with Finite Corrections
7 pages, 8 figures
Braz.J.Phys.37:258-264,2007
10.1590/S0103-97332007000200016
null
hep-ph cond-mat.other hep-th
null
We use the linear $\delta$ expansion, or optimized perturbation theory, to evaluate the effective potential for the two dimensional Gross-Neveu model at finite temperature and density obtaining analytical equations for the critical temperature, chemical potential and fermionic mass which include finite $N$ corrections. Our results seem to improve over the traditional large-N predictions.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 18:17:53 GMT" } ]
2011-08-04T00:00:00
[ [ "Kneur", "Jean-Loic", "" ], [ "Pinto", "Marcus Benghi", "" ], [ "Ramos", "Rudnei O.", "" ] ]
0704.2844
Omer Friedland
Omer Friedland
Kahane-Khinchin type Averages
null
null
null
null
math.FA
null
We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on $\R^n$. This is an application of small ball estimate and Chernoff's method, that has been recently used in the context of Asymptotic Geometric Analysis in [1], [2].
[ { "version": "v1", "created": "Sat, 21 Apr 2007 18:45:43 GMT" }, { "version": "v2", "created": "Mon, 10 Sep 2007 15:25:56 GMT" } ]
2007-09-10T00:00:00
[ [ "Friedland", "Omer", "" ] ]
0704.2845
Csaba Schneider
Csaba Schneider and Hendrik Van Maldeghem
Primitive flag-transitive generalized hexagons and octagons
forgot to upload the appendices in version 1, and this is rectified in version 2. erased cross-ref keys in version 3. Minor revision in version 4 to implement the suggestion by the referee (new section at the end, extended acknowledgment, simpler proof for Lemma 4.2)
null
null
null
math.CO math.GR
null
Suppose that an automorphism group $G$ acts flag-transitively on a finite generalized hexagon or octagon $\cS$, and suppose that the action on both the point and line set is primitive. We show that $G$ is an almost simple group of Lie type, that is, the socle of $G$ is a simple Chevalley group.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 19:12:03 GMT" }, { "version": "v2", "created": "Fri, 14 Mar 2008 12:35:16 GMT" } ]
2008-03-14T00:00:00
[ [ "Schneider", "Csaba", "" ], [ "Van Maldeghem", "Hendrik", "" ] ]
0704.2846
\'Angel R. L\'opez-S\'anchez Dr.
\'Angel R. L\'opez-S\'anchez and C\'esar Esteban (Instituto de Astrof\'isica de Canarias, IAC, SPAIN)
Interactions and star formation activity in Wolf-Rayet galaxies
16 pages, 15 figures
Astrophys.Space Sci.324:355-359,2009
10.1007/s10509-009-0154-z
null
astro-ph
null
We present the main results of the PhD Thesis carried out by L\'opez-S\'anchez (2006), in which a detailed morphological, photometrical and spectroscopical analysis of a sample of 20 Wolf-Rayet (WR) galaxies was realized. The main aims are the study of the star formation and O and WR stellar populations in these galaxies and the role that interactions between low surface companion objects have in the triggering of the bursts. We analyze the morphology, stellar populations, physical conditions, chemical abundances and kinematics of the ionized gas, as well as the star-formation activity of each system.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 18:52:58 GMT" } ]
2016-08-14T00:00:00
[ [ "López-Sánchez", "Ángel R.", "", "Instituto de\n Astrofísica de Canarias, IAC, SPAIN" ], [ "Esteban", "César", "", "Instituto de\n Astrofísica de Canarias, IAC, SPAIN" ] ]
0704.2847
Seth Sullivant
Seth Sullivant
Gaussian conditional independence relations have no finite complete characterization
6 pages
null
null
null
math.PR math.AC
null
We show that there can be no finite list of conditional independence relations which can be used to deduce all conditional independence implications among Gaussian random variables. To do this, we construct, for each $n> 3$ a family of $n$ conditional independence statements on $n$ random variables which together imply that $X_1 \ind X_2$, and such that no subset have this same implication. The proof relies on binomial primary decomposition.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 19:47:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Sullivant", "Seth", "" ] ]
0704.2848
Alexander Polishchuk
Alexander Polishchuk
Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I
31 pages, uses Paul Taylor's diagrams.sty. Added in v2: construction of a new grading on the algebra of 0-cycles on the Jacobian and of an action of the Lie algebra of vector fields on it. v3: some typos corrected, to appear in Selecta Math
null
null
null
math.AG
null
In this paper we construct and study the actions of certain deformations of the Lie algebra of Hamiltonians on the plane on the Chow groups (resp., cohomology) of the relative symmetric powers ${\cal C}^{[\bullet]}$ and the relative Jacobian ${\cal J}$ of a family of curves ${\cal C}/S$. As one of the applications, we show that in the case of a single curve $C$ this action induces a integral form of a Lefschetz $\operatorname{sl}_2$-action on the Chow groups of $C^{[N]}$. Another application gives a new grading on the ring of 0-cycles on the Jacobian $J$ of $C$ (with respect to the Pontryagin product) and equips it with an action of the Lie algebra of vector fields on the line. We also define the groups of tautological classes in $CH^*({\cal C}^{[\bullet]})$ and in $CH^*({\cal J})$ and prove for them analogs of the properties established in the case of the Jacobian of a single curve by Beauville in math.AG/0204188. We also show that the our algebras of operators preserve the subrings of tautological cycles and act on them via some explicit differential operators.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 20:30:59 GMT" }, { "version": "v2", "created": "Fri, 27 Apr 2007 00:09:44 GMT" }, { "version": "v3", "created": "Wed, 5 Mar 2008 04:51:30 GMT" } ]
2008-03-05T00:00:00
[ [ "Polishchuk", "Alexander", "" ] ]
0704.2849
H. Blaine Lawson Jr.
Blaine Lawson and John Wermer
On the Complement of the Projective Hull in C^n
null
null
null
null
math.CV math.DG
null
We prove that if $K$ is a compact subset of an affine variety O = P^n - D (where D is a projective hypersuface), and if K is a compact subset of a closed analytic subvariety V \subset O, then the projective hull K^ of K has the property that K^ \cap O is contained in V. If V is smooth and 1-dimensional, then K^ \cap O is also closed in O. The result has applications to graphs in C^2 of functions in the disk algebra.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 20:18:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Lawson", "Blaine", "" ], [ "Wermer", "John", "" ] ]
0704.2850
Tom Chang
Tom Chang and Cheng-chin Wu
Dynamical Complexity, Intermittent Turbulence, Coarse-Grained Dissipation, Criticality and Multifractal Processes
6 pages, 2 figures, submitted to AIP Conference Proceedings for the 6th Annual International Astrophysics Conference, Honolulu, March 16-22, 2007
AIP Conf.Proc.932:161-166,2007
10.1063/1.2778959
null
astro-ph
null
The ideas of dynamical complexity induced intermittent turbulence by sporadic localized interactions of coherent structures are discussed. In particular, we address the phenomenon of magnetic reconfiguration due to coarse-grained dissipation as well as the interwoven connection between criticality and multifractal processes. Specific examples are provided.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 20:51:53 GMT" } ]
2009-06-23T00:00:00
[ [ "Chang", "Tom", "" ], [ "Wu", "Cheng-chin", "" ] ]
0704.2851
Gabriel Sanchez-Colon
S.Chaturvedi, V.Gupta, and G.Sanchez-Colon
Bounds on quark mass matrices elements due to measured properties of the mixing matrix and present values of the quark masses
Evolution effects included
Int.J.Mod.Phys.A23:1729-1746,2008
10.1142/S0217751X0803975X
null
hep-ph
null
We obtain constraints on possible structures of mass matrices in the quark sector by using as experimental restrictions the determined values of the quark masses at the $M_Z$ energy scale, the magnitudes of the quark mixing matrix elements $V_{\rm ud}$, $V_{\rm us}$, $V_{\rm cd}$, and $V_{\rm cs}$, and the Jarlskog invariant $J(V)$. Different cases of specific mass matrices are examined in detail. The quality of the fits for the Fritzsch and Stech type mass matrices is about the same with $\chi^2/{\rm dof}=4.23/3=1.41$ and $\chi^2/{\rm dof}=9.10/4=2.28$, respectively. The fit for a simple generalization (one extra parameter) of the Fritzsch type matrices, in the physical basis, is much better with $\chi^2/{\rm dof}=1.89/4=0.47$. For comparison we also include the results using the quark masses at the 2 GeV energy scale. The fits obtained at this energy scale are similar to that at $M_Z$ energy scale, implying that our results are unaffected by the evolution of the quark masses from 2 to 91 GeV.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 21:14:24 GMT" }, { "version": "v2", "created": "Fri, 22 Feb 2008 19:50:58 GMT" } ]
2008-11-26T00:00:00
[ [ "Chaturvedi", "S.", "" ], [ "Gupta", "V.", "" ], [ "Sanchez-Colon", "G.", "" ] ]
0704.2852
Christof Teuscher
Christof Teuscher
Nature-Inspired Interconnects for Self-Assembled Large-Scale Network-on-Chip Designs
null
Chaos, 17(2):026106, 2007
10.1063/1.2740566
LA-UR-07-0204
cs.AR cond-mat.dis-nn nlin.AO
null
Future nano-scale electronics built up from an Avogadro number of components needs efficient, highly scalable, and robust means of communication in order to be competitive with traditional silicon approaches. In recent years, the Networks-on-Chip (NoC) paradigm emerged as a promising solution to interconnect challenges in silicon-based electronics. Current NoC architectures are either highly regular or fully customized, both of which represent implausible assumptions for emerging bottom-up self-assembled molecular electronics that are generally assumed to have a high degree of irregularity and imperfection. Here, we pragmatically and experimentally investigate important design trade-offs and properties of an irregular, abstract, yet physically plausible 3D small-world interconnect fabric that is inspired by modern network-on-chip paradigms. We vary the framework's key parameters, such as the connectivity, the number of switch nodes, the distribution of long- versus short-range connections, and measure the network's relevant communication characteristics. We further explore the robustness against link failures and the ability and efficiency to solve a simple toy problem, the synchronization task. The results confirm that (1) computation in irregular assemblies is a promising and disruptive computing paradigm for self-assembled nano-scale electronics and (2) that 3D small-world interconnect fabrics with a power-law decaying distribution of shortcut lengths are physically plausible and have major advantages over local 2D and 3D regular topologies.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 21:26:03 GMT" } ]
2007-07-01T00:00:00
[ [ "Teuscher", "Christof", "" ] ]
0704.2853
In Yong Park
I. Y. Park
Toward getting finite results from N=4 SYM with alpha'-corrections
13 pages, 3 figures, appendices shortened, typos corrected, refs added
null
null
null
hep-th
null
We take our first step toward getting finite results from the alpha'-corrected D=4 N=4 SYM theory with emphasis on the field theory techniques. Starting with the classical action of N=4 SYM with the leading alpha'-corrections, we examine new divergence at one loop due to the presence of the alpha'-terms. The new vertices do not introduce additional divergence to the propagators or to the three-point correlators. However they do introduce new divergence, e.g., to the scalar four-point function which should be canceled by extra counter-terms. We expect that the counter-terms will appear in the 1PI effective action that is obtained by considering the string annulus diagram. We work out the structure of the divergence and comment on an application to the anomalous dimension of the SYM operators in the context of AdS/CFT.
[ { "version": "v1", "created": "Sat, 21 Apr 2007 22:54:41 GMT" }, { "version": "v2", "created": "Sun, 29 Apr 2007 13:46:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Park", "I. Y.", "" ] ]
0704.2854
David J. Dean
G. Hagen, T. Papenbrock, D.J. Dean, A. Schwenk, A. Nogga, M. Wloch, and P. Piecuch
Coupled-cluster theory for three-body Hamiltonians
12 pages, 9 figures
Phys.Rev.C76:034302,2007
10.1103/PhysRevC.76.034302
null
nucl-th
null
We derive coupled-cluster equations for three-body Hamiltonians. The equations for the one- and two-body cluster amplitudes are presented in a factorized form that leads to an efficient numerical implementation. We employ low-momentum two- and three-nucleon interactions and calculate the binding energy of He-4. The results show that the main contribution of the three-nucleon interaction stems from its density-dependent zero-, one-, and two-body terms that result from the normal ordering of the Hamiltonian in coupled-cluster theory. The residual three-body terms that remain after normal ordering can be neglected.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 16:56:18 GMT" }, { "version": "v2", "created": "Fri, 7 Sep 2007 21:05:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Hagen", "G.", "" ], [ "Papenbrock", "T.", "" ], [ "Dean", "D. J.", "" ], [ "Schwenk", "A.", "" ], [ "Nogga", "A.", "" ], [ "Wloch", "M.", "" ], [ "Piecuch", "P.", "" ] ]
0704.2855
Klaus Capelle
E. Orestes, K. Capelle, A. B. F. da Silva and C. A. Ullrich
The generator coordinate method in time-dependent density-functional theory: memory made simple
10 pages, 13 figures
J. Chem. Phys. 127, 124101 (2007)
10.1063/1.2768368
null
cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph
null
The generator coordinate (GC) method is a variational approach to the quantum many-body problem in which interacting many-body wave functions are constructed as superpositions of (generally nonorthogonal) eigenstates of auxiliary Hamiltonians containing a deformation parameter. This paper presents a time-dependent extension of the GC method as a new approach to improve existing approximations of the exchange-correlation (XC) potential in time-dependent density-functional theory (TDDFT). The time-dependent GC method is shown to be a conceptually and computationally simple tool to build memory effects into any existing adiabatic XC potential. As an illustration, the method is applied to driven parametric oscillations of two interacting electrons in a harmonic potential (Hooke's atom). It is demonstrated that a proper choice of time-dependent generator coordinates in conjunction with the adiabatic local-density approximation reproduces the exact linear and nonlinear two-electron dynamics quite accurately, including features associated with double excitations that cannot be captured by TDDFT in the adiabatic approximation.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 17:07:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Orestes", "E.", "" ], [ "Capelle", "K.", "" ], [ "da Silva", "A. B. F.", "" ], [ "Ullrich", "C. A.", "" ] ]
0704.2856
Immanuel Bloch
Torben Mueller, Simon Foelling, Artur Widera, Immanuel Bloch
State preparation and dynamics of ultracold atoms in higher lattice orbitals
4 pages, 4 figures
Phys. Rev. Lett. 99, 200405 (2007)
10.1103/PhysRevLett.99.200405
null
cond-mat.other cond-mat.str-el
null
We report on the realization of a multi-orbital system with ultracold atoms in the excited bands of a 3D optical lattice by selectively controlling the band population along a given lattice direction. The lifetime of the atoms in the excited band is found to be considerably longer (10-100 times) than the characteristic time scale for inter-site tunneling, thus opening the path for orbital selective many-body physics with ultracold atoms. Upon exciting the atoms from an initial lowest band Mott insulating state to higher lying bands, we observe the dynamical emergence of coherence in 1D (and 2D), compatible with Bose-Einstein condensation to a non-zero momentum state.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 00:21:54 GMT" } ]
2008-04-23T00:00:00
[ [ "Mueller", "Torben", "" ], [ "Foelling", "Simon", "" ], [ "Widera", "Artur", "" ], [ "Bloch", "Immanuel", "" ] ]
0704.2857
Andrea Montanari
Andrea Montanari and Rudiger Urbanke
Modern Coding Theory: The Statistical Mechanics and Computer Science Point of View
Lectures at Les Houches Summer School on `Complex Systems', July 2006, 44 pages, 25 ps figures
null
null
null
cs.IT cond-mat.stat-mech math.IT
null
These are the notes for a set of lectures delivered by the two authors at the Les Houches Summer School on `Complex Systems' in July 2006. They provide an introduction to the basic concepts in modern (probabilistic) coding theory, highlighting connections with statistical mechanics. We also stress common concepts with other disciplines dealing with similar problems that can be generically referred to as `large graphical models'. While most of the lectures are devoted to the classical channel coding problem over simple memoryless channels, we present a discussion of more complex channel models. We conclude with an overview of the main open challenges in the field.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 01:57:03 GMT" } ]
2007-07-13T00:00:00
[ [ "Montanari", "Andrea", "" ], [ "Urbanke", "Rudiger", "" ] ]
0704.2858
Yusuke Sasano
Yusuke Sasano
Double covering of the Painlev\'e I equation and its singular analysis
18 pages, 4 figures
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this note, we will do analysis of accessible singular points for a polynomial Hamiltonian system obtained by taking a double covering of the Painlev\'e I equation. We will show that this system passes the Painlev\'e $\alpha$-test for all accessible singular points $P_i \ (i=1,2,3)$. We note its holomorphy condition of the first Painlev\'e system.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 03:56:12 GMT" }, { "version": "v2", "created": "Wed, 25 Apr 2007 18:09:20 GMT" }, { "version": "v3", "created": "Fri, 27 Apr 2007 15:53:56 GMT" }, { "version": "v4", "created": "Sun, 29 Apr 2007 05:55:44 GMT" }, { "version": "v5", "created": "Sun, 13 May 2007 17:19:22 GMT" }, { "version": "v6", "created": "Wed, 3 Nov 2010 06:08:15 GMT" }, { "version": "v7", "created": "Thu, 5 May 2016 11:39:03 GMT" }, { "version": "v8", "created": "Fri, 13 May 2016 23:12:41 GMT" } ]
2016-05-17T00:00:00
[ [ "Sasano", "Yusuke", "" ] ]
0704.2859
Barak Dayan
Barak Dayan
Theory of Two-Photon Interactions with Broadband Down-Converted Light and Entangled Photons
23 pages, 4 figures, submitted to Phys. Rev. A
null
10.1103/PhysRevA.76.043813
null
quant-ph
null
When two-photon interactions are induced by down-converted light with a bandwidth that exceeds the pump bandwidth, they can obtain a behavior that is pulse-like temporally, yet spectrally narrow. At low photon fluxes this behavior reflects the time and energy entanglement between the down-converted photons. However, two-photon interactions such as two-photon absorption (TPA) and sum-frequency generation (SFG) can exhibit such a behavior even at high power levels, as long as the final state (i.e. the atomic level in TPA, or the generated light in SFG) is narrowband enough. This behavior does not depend on the squeezing properties of the light, is insensitive to linear losses, and has potential applications. In this paper we describe analytically this behavior for travelling-wave down-conversion with continuous or pulsed pumping, both for high- and low-power regimes. For this we derive a quantum-mechanical expression for the down-converted amplitude generated by an arbitrary pump, and formulate operators that represent various two-photon interactions induced by broadband light. This model is in excellent agreement with experimental results of TPA and SFG with high power down-converted light and with entangled photons [Dayan et al., Phys. Rev. Lett. 93, 023005 (2004), Dayan et al., Phys. Rev. Lett. 94, 043602, (2005), Pe'er et al., Phys. Rev. Lett. 94, 073601 (2005)].
[ { "version": "v1", "created": "Sun, 22 Apr 2007 04:02:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Dayan", "Barak", "" ] ]
0704.2860
Robert Kurucz
Robert L. Kurucz
Cryptoplanet update
research presentation, 85 figures
null
null
null
astro-ph
null
We have had several talks recently reviewing 11 years of exoplanet discoveries through radial velocity variations, or from transits, or from microlensing. More than 200 exoplanets have been found, including some around pulsars that we do not discuss here. My physical definition for a planet is a roughly spherical, self-gravitating body more massive than 10**26 g formed from the leftover material in a protostellar disk after the protostar forms. Radiation from the protostar pushes the inner wall of the disk outward. The material agglomerates and forms planets in radial sequence. The outer planets are formed slowly by classical dynamical mechanisms acting in the snow zone. Planets have dense cores because of agglomeration. Not one of the exoplanets discovered thus far is a planet. They are cryptoplanets formed from matter ejected by protostars. When protostars have excessive infall at high latitudes, they partially balance angular momentum through outflow at the equator as they spin up. The ejected matter is trapped in the magnetic torus formed between the star and the disk, like a tokamak. The tokamak eventully reconnects and magnetic compression forms self-gravitating remnants trapped and compressed by a closed spherical magnetic field, spheromaks. Cooled spheromaks are cryptoplanets. They orbit near the star. They can merge with each other or fall into the star or be ejected. They can grow by accreting gas. They have a low density core and abundances characteristic of the protostar. Their masses, radii, densities, and orbits are random, and are inconsistent with the parameters for planets. They tend to have lower density than planets.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 04:02:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Kurucz", "Robert L.", "" ] ]
0704.2861
Vasileios Paschalidis
Vasileios Paschalidis
Mixed Hyperbolic - Second-Order Parabolic Formulations of General Relativity
19 pages, two column, references added, two proofs of well-posedness added, content changed to agree with submitted version to PRD
Phys.Rev.D78:024002,2008
10.1103/PhysRevD.78.024002
null
gr-qc
null
Two new formulations of general relativity are introduced. The first one is a parabolization of the Arnowitt, Deser, Misner (ADM) formulation and is derived by addition of combinations of the constraints and their derivatives to the right-hand-side of the ADM evolution equations. The desirable property of this modification is that it turns the surface of constraints into a local attractor because the constraint propagation equations become second-order parabolic independently of the gauge conditions employed. This system may be classified as mixed hyperbolic - second-order parabolic. The second formulation is a parabolization of the Kidder, Scheel, Teukolsky formulation and is a manifestly mixed strongly hyperbolic - second-order parabolic set of equations, bearing thus resemblance to the compressible Navier-Stokes equations. As a first test, a stability analysis of flat space is carried out and it is shown that the first modification exponentially damps and smoothes all constraint violating modes. These systems provide a new basis for constructing schemes for long-term and stable numerical integration of the Einstein field equations.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 20:06:57 GMT" }, { "version": "v2", "created": "Tue, 18 Mar 2008 02:29:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Paschalidis", "Vasileios", "" ] ]
0704.2862
Alexander Khitun
Alexander Khitun, Dmitri E. Nikonov, Mingqiang Bao, Kosmas Galatsis, and Kang L. Wang
Feasibility Study of Logic Circuits with Spin Wave Bus
null
null
10.1088/0957-4484/18/46/465202
null
cond-mat.other
null
We present a feasibility study of logic circuits utilizing spin waves for information transmission and processing. As an alternative approach to the transistor-based architecture, logic circuits with spin wave bus do not use charge as an information carrier. In this work we describe the general concept of logic circuits with spin wave bus and illustrate its performance by numerical simulations based on available experimental data. Theoretical estimates and results of numerical simulations on signal attenuation, signal phase velocity, and the minimum spin wave energy required per bit in the spin bus are obtained. The transport parameters are compared with ones for conventional electronic transmission lines. Spin Wave Bus is not intended to substitute traditional metal interconnects since it has higher signal attenuation and lower signal propagation speed. The potential value of spin wave bus is, however, an interface between electronic circuits and integrated spintronics circuits. The logic circuits with spin wave bus allow us to provide wireless read-in and read-out.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 17:38:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Khitun", "Alexander", "" ], [ "Nikonov", "Dmitri E.", "" ], [ "Bao", "Mingqiang", "" ], [ "Galatsis", "Kosmas", "" ], [ "Wang", "Kang L.", "" ] ]
0704.2863
Yusuke Sasano
Yusuke Sasano
On some Hamiltonian structures of coupled Painlev\'e II systems in dimension four
9 pages
null
null
null
math.AG math-ph math.CA math.DS math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find and study a two-parameter family of coupled Painlev\'e II systems in dimension four with affine Weyl group symmetry of several types. Moreover, we find a three-parameter family of polynomial Hamiltonian systems in two variables $t,s$. Setting $s=0$, we can obtain an autonomous version of the coupled Painlev\'e II systems. We also show its symmetry and holomorphy conditions.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 06:49:15 GMT" }, { "version": "v2", "created": "Thu, 6 Jan 2011 14:20:24 GMT" } ]
2011-01-07T00:00:00
[ [ "Sasano", "Yusuke", "" ] ]
0704.2864
K.G. Suresh
Pramod Kumar, K. G. Suresh and A. K. Nigam
Sm2Al: Another ferromagnet with spin-orbital compensation?
12 oages
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
We report the observation of a compensation point in the temperature dependence of magnetization data of polycrystalline Sm2Al. Magnetization measurements show that this compound magnetically orders at about 150 K. Below this temperature, the magnetization data shows a compensation point, which shifts with field. Hysteresis loops obtained below the compensation temperature show that the compound possesses exchange anisotropy. Both the exchange anisotropy field and the coercive field are found to be quite large and comparable to those of the classical spin-orbit compensated ferromagnet (Sm,Gd)Al2. The heat capacity data also suggest that there are similarities between (Sm,Gd)Al2 and Sm2Al.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 06:49:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Kumar", "Pramod", "" ], [ "Suresh", "K. G.", "" ], [ "Nigam", "A. K.", "" ] ]
0704.2865
Andrei Khrennikov
Andrei Khrennikov
Classical and quantum randomness and the financial market
null
null
null
Chapter in: A. Khrennikov, Ubiquitous quantum structure: from psychology to finances, Springer, Berlin-Heidelberg-New York, 2010
q-fin.ST math-ph math.MP math.PR
null
We analyze complexity of financial (and general economic) processes by comparing classical and quantum-like models for randomness. Our analysis implies that it might be that a quantum-like probabilistic description is more natural for financial market than the classical one. A part of our analysis is devoted to study the possibility of application of the quantum probabilistic model to agents of financial market. We show that, although the direct quantum (physical) reduction (based on using the scales of quantum mechanics) is meaningless, one may apply so called quantum-like models. In our approach quantum-like probabilistic behaviour is a consequence of contextualy of statistical data in finances (and economics in general). However, our hypothesis on "quantumness" of financial data should be tested experimentally (as opposed to the conventional description based on the noncontextual classical probabilistic approach). We present a new statistical test based on a generalization of the well known in quantum physics Bell's inequality.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 08:26:27 GMT" } ]
2014-03-13T00:00:00
[ [ "Khrennikov", "Andrei", "" ] ]
0704.2866
Kimiko Yamada
Kimiko Yamada
A sequence of blowing-ups connecting moduli of sheaves and the Donaldson polynomial under change of polarization
This article has been published, while Introduction is revised
J. Math. Kyoto Univ. 43 (2003) no.4, 829-878
null
null
math.AG
null
Let $H$ and $H'$ be two ample line bundles over a nonsingular projective surface $X$, and $M(H)$ (resp. $M(H')$) the coarse moduli scheme of $H$-semistable (resp. $H'$-semistable) sheaves of fixed type $(r=2,c_1,c_2)$. In a moduli-theoretic way that comes from elementary transforms, we connect $M(H)$ and $M(H')$ by a sequence of blowing-ups when walls separating $H$ and $H'$ are not necessarily good. As an application, we also consider the polarization change problem of Donaldson polynomials.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 08:39:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Yamada", "Kimiko", "" ] ]
0704.2867
Eran Bouchbinder
Eran Bouchbinder, Michal Bregman and Itamar Procaccia
On the Self-Affine Roughness of a Crack Front in Heterogeneous Media
4 pages, 4 figures
Phys. Rev. E 76, 025101(R) (2007)
10.1103/PhysRevE.76.025101
null
cond-mat.dis-nn cond-mat.mtrl-sci
null
The long-ranged elastic model, which is believed to describe the evolution of a self-affine rough crack-front, is analyzed to linear and non-linear orders. It is shown that the nonlinear terms, while important in changing the front dynamics, are not changing the scaling exponent which characterizes the roughness of the front. The scaling exponent thus predicted by the model is much smaller than the one observed experimentally. The inevitable conclusion is that the gap between the results of experiments and the model that is supposed to describe them is too large, and some new physics has to be invoked for another model.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 09:16:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Bouchbinder", "Eran", "" ], [ "Bregman", "Michal", "" ], [ "Procaccia", "Itamar", "" ] ]
0704.2868
Jing Qin
Christian M. Reidys
Large components in random induced subgraphs of n-cubes
18 Pages
null
null
null
math.CO math.PR
null
In this paper we study random induced subgraphs of the binary $n$-cube, $Q_2^n$. This random graph is obtained by selecting each $Q_2^n$-vertex with independent probability $\lambda_n$. Using a novel construction of subcomponents we study the largest component for $\lambda_n=\frac{1+\chi_n}{n}$, where $\epsilon\ge \chi_n\ge n^{-{1/3}+ \delta}$, $\delta>0$. We prove that there exists a.s. a unique largest component $C_n^{(1)}$. We furthermore show that $\chi_n=\epsilon$, $| C_n^{(1)}|\sim \alpha(\epsilon) \frac{1+\chi_n}{n} 2^n$ and for $o(1)=\chi_n\ge n^{-{1/3}+\delta}$, $| C_n^{(1)}| \sim 2 \chi_n \frac{1+\chi_n}{n} 2^n$ holds. This improves the result of \cite{Bollobas:91} where constant $\chi_n=\chi$ is considered. In particular, in case of $\lambda_n=\frac{1+\epsilon} {n}$, our analysis implies that a.s. a unique giant component exists.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 09:20:01 GMT" }, { "version": "v2", "created": "Fri, 1 Feb 2008 02:51:39 GMT" }, { "version": "v3", "created": "Fri, 7 Mar 2008 02:45:24 GMT" } ]
2008-03-07T00:00:00
[ [ "Reidys", "Christian M.", "" ] ]
0704.2869
Yusuke Sasano
Yusuke Sasano
Studies on the Garnier system in two variables
31 pages, 8 figures
null
null
null
math.AG
null
We study some Hamiltonian structures of the Garnier system in two variables from the viewpoints of its symmetry and holomorphy properties. We also give a generalization of {\it Okamoto transformation \it}of the sixth Painlev\'e system.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 09:39:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Sasano", "Yusuke", "" ] ]
0704.2870
Kimiko Yamada
Kimiko Yamada
Blowing-ups describing the polarization change of moduli schemes of semistable sheaves of general rank
null
null
null
null
math.AG
null
Let $H$ and $H'$ be two ample line bundles over a smooth projective surface $X$, and $M(H)$ (resp. $M(H')$) the coarse moduli scheme of $H$-semistable (resp. $H'$-semistable) sheaves of fixed type $(r,c_1,c_2)$. We construct a sequence of blowing-ups which describes how $M(H)$ differs from $M(H')$ not only when $r=2$ but also when $r$ is arbitrary. Means we here utilize are elementary transforms and the notion of a sheaf with flag.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 09:42:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Yamada", "Kimiko", "" ] ]
0704.2871
Mark Agranovsky
Mark Agranovsky
Complex dimensions of real manifolds, attached analytic discs and parametric argument principle
null
null
null
null
math.CV
null
Let $\Omega$ be a smooth real analytic submanifold of a complex manifold $X$. We establish and study the link between the following 3 subjects: 1) topological properties of smooth families of attached analytic discs, the manifold $\Omega$ admits, 2) lower bounds for dimensions of complex tangent spaces of $\Omega$, 3) a generalization of the argument principle for smooth families of holomorphic mappings from the standard complex disc to $X$. In particular, we obtain characterization of complex manifolds and their boundaries in terms of attached analytic discs. The special case when $\Omega$ is the graph, leads to new characterizations of holomorphic and $CR$ functions, and in particular, to solutions of some open problems about such functions.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 12:14:09 GMT" }, { "version": "v2", "created": "Wed, 5 Sep 2007 14:11:23 GMT" } ]
2007-09-05T00:00:00
[ [ "Agranovsky", "Mark", "" ] ]
0704.2872
Alberto Sesana
A. Sesana, F. Haardt, P. Madau
Hypervelocity stars and the environment of Sgr A*
5 pages, 5 figures, accepted for publication in MNRAS letters
Mon.Not.Roy.Astron.Soc.Lett.379:L45-L49,2007
10.1111/j.1745-3933.2007.00331.x
null
astro-ph
null
Hypervelocity stars (HVSs) are a natural consequence of the presence of a massive nuclear black hole (Sgr A*) in the Galactic Center. Here we use the Brown et al. sample of unbound and bound HVSs together with numerical simulations of the propagation of HVSs in the Milky Way halo to constrain three plausible ejection mechanisms: 1) the scattering of stars bound to Sgr A* by an inspiraling intermediate-mass black hole (IMBH); 2) the disruption of stellar binaries in the tidal field of Sgr A*; and 3) the two-body scattering of stars off a cluster of stellar-mass black holes orbiting Sgr A*. We compare the predicted radial and velocity distributions of HVSs with the limited-statistics dataset currently available, and show that the IMBH model appears to produce a spectrum of ejection velocities that is too flat. Future astrometric and deep wide-field surveys of HVSs should shed unambiguous light on the stellar ejection mechanism and probe the Milky Way potential on scales as large as 200 kpc.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 17:25:44 GMT" }, { "version": "v2", "created": "Tue, 24 Apr 2007 10:39:35 GMT" } ]
2009-06-23T00:00:00
[ [ "Sesana", "A.", "" ], [ "Haardt", "F.", "" ], [ "Madau", "P.", "" ] ]
0704.2873
Yusuke Sasano
Yusuke Sasano
Coupled Painlev\'e III system with affine Weyl group symmetry of type $D_6^{(1)}$
16 pages, 2 figures
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find and study a six-parameter family of coupled Painlev\'e III systems in dimension six with affine Weyl group symmetry of type $D_6^{(1)}$. We also find and study its degenerate systems with affine Weyl group symmetry of types $B_5^{(1)}$ and $D_5^{(2)}$.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 10:29:54 GMT" }, { "version": "v2", "created": "Mon, 2 Nov 2009 13:07:06 GMT" } ]
2009-11-02T00:00:00
[ [ "Sasano", "Yusuke", "" ] ]
0704.2874
Sergey Tsygankov
S.S. Tsygankov (1,2), A.A. Lutovinov (1,2), E.M. Churazov (2,1), R.A. Sunyaev (2,1) ((1) Space Research Institute, Moscow, Russia; (2) MPI for Astrophysik, Garching, Germany)
4U 0115+63 from RXTE and INTEGRAL Data: Pulse Profile and Cyclotron Line Energy
30 pages, 13 figures, Astronomy Letters, 33, 368 (2007)
Astron.Lett.33:368-384,2007; Pisma Astron.Zh.33:417-434,2007
10.1134/S1063773707060023
null
astro-ph
null
We analyze the observations of the transient X-ray pulsar 4U 0115+63 with the RXTE and INTEGRAL observatories in a wide X-ray (3-100 keV) energy band during its intense outbursts in 1999 and 2004. The energy of the fundamental harmonic of the cyclotron resonance absorption line near the maximum of the X-ray flux from the source (luminosity range 5x10^{37} - 2x10^{38} erg/s) is ~11 keV. When the pulsar luminosity falls below ~5x10^{37} erg/s, the energy of the fundamental harmonic is displaced sharply toward the high energies, up to ~16 keV. Under the assumption of a dipole magnetic field configuration, this change in cyclotron harmonic energy corresponds to a decrease in the height of the emitting region by ~2 km, while other spectral parameters, in particular, the cutoff energy, remain essentially constant. At a luminosity ~7x10^{37} erg/s, four almost equidistant cyclotron line harmonics are clearly seen in the spectrum. This suggests that either the region where the emission originates is compact or the emergent spectrum from different (in height) segments of the accretion column is uniform. We have found significant pulse profile variations with energy, luminosity, and time. In particular, we show that the profile variations from pulse to pulse are not reduced to a simple modulation of the accretion rate specified by external conditions.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 11:22:04 GMT" } ]
2009-06-23T00:00:00
[ [ "Tsygankov", "S. S.", "" ], [ "Lutovinov", "A. A.", "" ], [ "Churazov", "E. M.", "" ], [ "Sunyaev", "R. A.", "" ] ]
0704.2875
Zheng-Yu Weng
Zheng-Yu Weng
Phase String Theory for Doped Antiferromagnets
40 pages, 31 figures, a brief review appearing on March 10, 2007
Int. J. Mod. Phys. B21, 773-827 (2007)
10.1142/S0217979207036722
null
cond-mat.str-el cond-mat.supr-con
null
The recent developments of the phase string theory for doped antiferromagnets will be briefly reviewed. Such theory is built upon a singular phase string effect induced by the motion of holes in a doped antiferromagnet, which as a precise property of the t-J model dictates the novel competition between the charge and spin degrees of freedom. A global phase diagram including the antiferromagnetic, superconducting, lower and upper pseudogap, and high-temperature "normal" phases, as well as a series of anomalous physical properties of these phases will be presented as the self-consistent and systematic consequences of the phase string theory.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 10:49:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Weng", "Zheng-Yu", "" ] ]
0704.2876
Maria Gorelik
M. Gorelik, V. Kac
Characters of highest weight modules over affine Lie algebras are meromorphic functions
20 pages
null
null
null
math-ph math.MP math.RT
null
We show that the characters of all highest weight modules over an affine Lie algebra with the highest weight away from the critical hyperplane are meromorphic functions in the positive half of Cartan subalgebra, their singularities being at most simple poles at zeros of real roots. We obtain some information about these singularities.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 10:57:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Gorelik", "M.", "" ], [ "Kac", "V.", "" ] ]
0704.2877
Konstantin Pankrashkin
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
Explicit Green functions for spin-orbit Hamiltonians
8 pages
J. Phys. A 40 (2007) F697-F704
10.1088/1751-8113/40/30/F02
null
math-ph math.MP
null
We derive explicit expressions for Green functions and some related characteristics of the Rashba and Dresselhaus Hamiltonians with a uniform magnetic field.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 11:53:10 GMT" } ]
2007-07-12T00:00:00
[ [ "Bruening", "Jochen", "" ], [ "Geyler", "Vladimir", "" ], [ "Pankrashkin", "Konstantin", "" ] ]
0704.2878
Pulak Ranjan Giri
Pulak Ranjan Giri
Dipole binding in a cosmic string background due to quantum anomalies
Accepted for publication in Phys. Rev. A
Phys.Rev.A76:012114,2007
10.1103/PhysRevA.76.012114
SINP/TNP/2007/06
hep-th gr-qc
null
We propose quantum dynamics for the dipole moving in cosmic string background and show that the classical scale symmetry of a particle moving in cosmic string background is still restored even in the presence of dipole moment of the particle. However, we show that the classical scale symmetry is broken due to inequivalent quantization of the the non-relativistic system. The consequence of this quantum anomaly is the formation of bound state in the interval \xi\in(-1,1). The inequivalent quantization is characterized by a 1-parameter family of self-adjoint extension parameter \Sigma. We show that within the interval \xi\in(-1,1), cosmic string with zero radius can bind the dipole and the dipole does not fall into the singularity.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 12:03:09 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2007 14:09:37 GMT" } ]
2008-11-26T00:00:00
[ [ "Giri", "Pulak Ranjan", "" ] ]
0704.2879
Mikhail Vladimirovich Deryabin
Mikhail V. Deryabin
Helicity-type integral invariants for Hamiltonian systems
7 pages
null
null
null
math.DG math.DS
null
In this note, we consider generalizations of the asymptotic Hopf invariant, or helicity, for Hamiltonian systems with one-and-a-half degrees of freedom and symplectic diffeomorphisms of a two-disk to itself.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 12:59:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Deryabin", "Mikhail V.", "" ] ]
0704.2880
Pantelis Manousselis
P. Aschieri, H. Steinacker, J. Madore, P. Manousselis, G. Zoupanos
Fuzzy Extra Dimensions: Dimensional Reduction, Dynamical Generation and Renormalizability
18 pages, Based on invited talks presented at various conferences, Minor corrections, Acknowledgements added
null
null
null
hep-th
null
We examine gauge theories defined in higher dimensions where theextra dimensions form a fuzzy (finite matrix) manifold. First we reinterpret these gauge theories as four-dimensional theories with Kaluza-Klein modes and then we perform a generalized \`a la Forgacs-Manton dimensional reduction. We emphasize some striking features emerging in the later case such as (i) the appearance of non-abelian gauge theories in four dimensions starting from an abelian gauge theory in higher dimensions, (ii) the fact that the spontaneous symmetry breaking of the theory takes place entirely in the extra dimensions and (iii) the renormalizability of the theory both in higher as well as in four dimensions. Then reversing the above approach we present a renormalizable four dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which via spontaneous symmetry breaking dynamically develops extra dimensions in the form of a fuzzy sphere. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on $M^4 \times S^2$, the scalars being interpreted as gauge fields on $S^2$. Depending on the parameters of the model the low-energy gauge group can be of the form $SU(n_1) \times SU(n_2) \times U(1)$.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 13:23:37 GMT" }, { "version": "v2", "created": "Sun, 29 Apr 2007 11:23:28 GMT" }, { "version": "v3", "created": "Sun, 6 May 2007 11:16:39 GMT" }, { "version": "v4", "created": "Tue, 9 Oct 2007 06:37:59 GMT" } ]
2007-10-09T00:00:00
[ [ "Aschieri", "P.", "" ], [ "Steinacker", "H.", "" ], [ "Madore", "J.", "" ], [ "Manousselis", "P.", "" ], [ "Zoupanos", "G.", "" ] ]
0704.2881
Daisuke Tatsumi
Daisuke Tatsumi, Ryutaro Takahashi, Koji Arai, Noriyasu Nakagawa, Kazuhiro Agatsuma, Toshitaka Yamazaki, Mitsuhiro Fukushima, Masa-Katsu Fujimoto, Akiteru Takamori, Alessandro Bertolini, Virginio Sannibale, Riccardo DeSalvo, Szabolcs Marka, Masaki Ando, Kimio Tsubono, Tomomi Akutsu, Kazuhiro Yamamoto, Hideki Ishitsuka, Takashi Uchiyama, Shinji Miyoki, Masatake Ohashi, Kazuaki Kuroda, Norichika Awaya, Nobuyuki Kanda, Akito Araya, Souichi Telada, Takayuki Tomaru, Tomiyoshi Haruyama, Akira Yamamoto, Nobuaki Sato, Toshitaka Suzuki and Takakazu Shintomi
Current status of Japanese detectors
6 pages, 5 figures, Proceedings of GWDAW-11
Class.Quant.Grav.24:S399-S404,2007
10.1088/0264-9381/24/19/S03
null
gr-qc
null
Current status of TAMA and CLIO detectors in Japan is reported in this article. These two interferometric gravitational-wave detectors are being developed for the large cryogenic gravitational wave telescope (LCGT) which is a future plan for detecting gravitational wave signals at least once per year. TAMA300 is being upgraded to improve the sensitivity in low frequency region after the last observation experiment in 2004. To reduce the seismic noises, we are installing new seismic isolation system, which is called TAMA Seismic Attenuation System, for the four test masses. We confirmed stable mass locks of a cavity and improvements of length and angular fluctuations by using two SASs. We are currently optimizing the performance of the third and fourth SASs. We continue TAMA300 operation and R&D studies for LCGT. Next data taking in the summer of 2007 is planned. CLIO is a 100-m baseline length prototype detector for LCGT to investigate interferometer performance in cryogenic condition. The key features of CLIO are that it locates Kamioka underground site for low seismic noise level, and adopts cryogenic Sapphire mirrors for low thermal noise level. The first operation of the cryogenic interferometer was successfully demonstrated in February of 2006. Current sensitivity at room temperature is close to the target sensitivity within a factor of 4. Several observation experiments at room temperature have been done. Once the displacement noise reaches at thermal noise level of room temperature, its improvement by cooling test mass mirrors should be demonstrated.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 13:25:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Tatsumi", "Daisuke", "" ], [ "Takahashi", "Ryutaro", "" ], [ "Arai", "Koji", "" ], [ "Nakagawa", "Noriyasu", "" ], [ "Agatsuma", "Kazuhiro", "" ], [ "Yamazaki", "Toshitaka", "" ], [ "Fukushima", "Mitsuhiro", "" ], [ "Fujimoto", "Masa-Katsu", "" ], [ "Takamori", "Akiteru", "" ], [ "Bertolini", "Alessandro", "" ], [ "Sannibale", "Virginio", "" ], [ "DeSalvo", "Riccardo", "" ], [ "Marka", "Szabolcs", "" ], [ "Ando", "Masaki", "" ], [ "Tsubono", "Kimio", "" ], [ "Akutsu", "Tomomi", "" ], [ "Yamamoto", "Kazuhiro", "" ], [ "Ishitsuka", "Hideki", "" ], [ "Uchiyama", "Takashi", "" ], [ "Miyoki", "Shinji", "" ], [ "Ohashi", "Masatake", "" ], [ "Kuroda", "Kazuaki", "" ], [ "Awaya", "Norichika", "" ], [ "Kanda", "Nobuyuki", "" ], [ "Araya", "Akito", "" ], [ "Telada", "Souichi", "" ], [ "Tomaru", "Takayuki", "" ], [ "Haruyama", "Tomiyoshi", "" ], [ "Yamamoto", "Akira", "" ], [ "Sato", "Nobuaki", "" ], [ "Suzuki", "Toshitaka", "" ], [ "Shintomi", "Takakazu", "" ] ]
0704.2882
Xinyu Dai
Xinyu Dai, Francesco Shankar, and Gregory R. Sivakoff (Ohio State Univ.)
2MASS Reveals a Large Intrinsic Fraction of BALQSOs
20 pages, 6 figures, accepted by ApJ
Astrophys.J.672.108-114,2008
10.1086/523688
null
astro-ph
null
The intrinsic fraction of broad absorption line quasars (BALQSOs) is important in constraining geometric and evolutionary models of quasars. We present the fraction of BALQSOs in 2MASS detected quasars within the SDSS DR3 sample in the redshift range of 1.7 < z < 4.38. The fraction of BALQSOs is 40.4^{+3.4}_{-3.3}% in the 2MASS 99% database K_s band completeness sample, and 38.5^{+1.7}_{-1.7}% in the larger 2MASS sample extending below the completeness limit. These fractions are significantly higher than the 26% reported in the optical bands for the same parent sample. We also present the fraction of BALQSOs as functions of apparent magnitudes, absolute magnitudes, and redshift in the 2MASS and SDSS bands. The 2MASS fractions are consistently higher than the SDSS fractions in every comparison, and the BALQSO fractions steadily increase with wavelength from the SDSS u to the 2MASS K_s bands. Furthermore, the i - K_s color distributions of BALQSOs and non-BALQSOs indicate that BALQSOs are redder than non-BALQSOs, with a K-S test probability of 2e-12. These results are consistent with the spectral difference between BALQSOs and non-BALQSOs including both the absorption troughs and dust extinction in BALQSOs, which leads to significant selection biases against BALQSOs in the optical bands. Using a simple simulation incorporating the luminosity function of quasars and the amount of obscuration for BALQSOs, we simultaneously fit the BALQSO fractions in the SDSS and 2MASS bands. We obtain a true BALQSO fraction of 43\pm2% for luminous quasars (M_{K_s} \lesssim -30.1 mag).
[ { "version": "v1", "created": "Sun, 22 Apr 2007 13:31:20 GMT" }, { "version": "v2", "created": "Tue, 18 Sep 2007 15:42:32 GMT" } ]
2012-10-18T00:00:00
[ [ "Dai", "Xinyu", "", "Ohio State\n Univ." ], [ "Shankar", "Francesco", "", "Ohio State\n Univ." ], [ "Sivakoff", "Gregory R.", "", "Ohio State\n Univ." ] ]
0704.2883
Roehner
Charles Jego, Bertrand M. Roehner
A physicist's view of the notion of "racism"
14 pages, 3 figures, 1 table
null
null
null
physics.soc-ph
null
It is not uncommon, e.g. in the media, that specific groups are categorized as being racist. Based on an extensive dataset of intermarriage statistics our study questions the legitimacy of such characterizations. It suggests that, far from being group-dependent, segregation mechanisms are instead situation-dependent. More precisely, the degree of integration of a minority in terms of the frequency of intermarriage is seen to crucially depend upon the the proportion p of the minority. Thus, a population may have a segregative behavior with respect to a high-p (p>20%) minority A and at the same time a tolerant attitude toward a low-p (p<2%) minority B. This remains true even when A and B represent the same minority; for instance Black-White intermarriage is much more frequent in Montana than it is in South Carolina. In short, the nature of minority groups is largely irrelevant, the key factor being their proportion in a given area.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 13:42:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Jego", "Charles", "" ], [ "Roehner", "Bertrand M.", "" ] ]
0704.2884
Shamil Shakirov
V.Dolotin, A.Morozov and Sh.Shakirov
Higher Nilpotent Analogues of A-infinity Structure
preliminary version, essential corrections made
Phys.Lett.B651:71-73,2007
10.1016/j.physletb.2007.05.022
ITEP/TH-14/07
hep-th math.GT
null
Higher nilpotent analogues of the $A-\infty$-structure are explicitly defined on arbitrary simplicial complexes, generalizing explicit construction of /hep-th/0704.2609. These structures are associated with the higher nilpotent differential $d_n$, satisfying $d_n^n =0$, which is naturally defined on triangulated manifolds (tetrahedral lattices). The deformation $D_n = (I + \epsilon_n) d_n (I + \epsilon_n)^{-1}$ is defined with the help of the $n$-versions of discrete exterior product $\wedge_n$ and the $K_n$-operator.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 14:14:31 GMT" }, { "version": "v2", "created": "Tue, 24 Apr 2007 23:10:41 GMT" }, { "version": "v3", "created": "Wed, 10 Oct 2007 11:29:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Dolotin", "V.", "" ], [ "Morozov", "A.", "" ], [ "Shakirov", "Sh.", "" ] ]
0704.2885
Pascal Moyal
Pascal Moyal
Convex comparison of service disciplines in real time queues
null
null
null
null
math.PR
null
We present a comparison of the service disciplines in real-time queueing systems (the customers have a deadline before which they should enter the service booth). We state that giving priority to customers having an early deadline minimizes the average stationary lateness. We show this result by comparing adequate random vectors with the Schur-Convex majorization ordering.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 14:39:09 GMT" }, { "version": "v2", "created": "Tue, 8 Jan 2008 13:36:59 GMT" } ]
2008-01-08T00:00:00
[ [ "Moyal", "Pascal", "" ] ]
0704.2886
Mikhail Vladimirovich Deryabin
Mikhail V. Deryabin
Control of mechanical systems on Lie groups and ideal hydrodynamics
25 pages
null
null
null
math.OC math.DS
null
In contrast to the Euler-Poincar{\'e} reduction of geodesic flows of left- or right-invariant metrics on Lie groups to the corresponding Lie algebra (or its dual), one can consider the reduction of the geodesic flows to the group itself. The reduced vector field has a remarkable hydrodynamic interpretation: it is a velocity field for a stationary flow of an ideal fluid. Right- or left-invariant symmetry fields of the reduced field define vortex manifolds for such flows. Consider now a mechanical system, whose configuration space is a Lie group and whose Lagrangian is invariant to left translations on that group, and assume that the mass geometry of the system may change under the action of internal control forces. Such system can also be reduced to the Lie group. With no controls, this mechanical system describes a geodesic flow of the left-invariant metric, given by the Lagrangian, and thus its reduced flow is a stationary ideal fluid flow on the Lie group. The standard control problem for such system is to find the conditions, under which the system can be brought from any initial position in the configuration space to another preassigned position by changing its mass geometry. We show that under these conditions, by changing the mass geometry, one can also bring one vortex manifold to any other preassigned vortex manifold.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 14:58:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Deryabin", "Mikhail V.", "" ] ]
0704.2887
Lola Balaguer-Nu\~nez
L. Balaguer-N\'u\~nez (1,2,3), D. Galad\'i-Enr\'iquez (4), C. Jordi (1,5) ((1)UB Spain, (2)SHAO China,(3) IoA Cambridge UK,(4) IAA Spain,(5) IEEC Spain)
$uvby-H_\beta$ CCD photometry and membership segregation of the open cluster NGC2682 (M67)
16 pages, 14 figures, accepted for publication in A&A
null
10.1051/0004-6361:20067003
null
astro-ph
null
Following deep astrometric and photometric study of the cluster NGC2682 (M67), we are able to accurately determine its fundamental parameters. Being an old and rich cluster, M67 is a relevant object for the analysis of the Galactic disk evolution. M67 is well studied but the lack of a wide and deep Stromgren photometric study makes our results worthwhile. The brightest stars of the open cluster M67 were used as uvby-Hbeta standard stars in our studies of NGC1817 and NGC2548, and the extension of the field covered, as well as the amount of observations, allowed to obtain the best set of Stromgren data ever published for this cluster. We discuss the results of our CCD uvby-Hbeta intermediate-band photometry, covering an area of about 50'x50' down to V 19. Moreover, a complete membership segregation based on astrometric and photometric criteria is obtained. The photometric analysis of a selected sample of stars yields a reddening value of E(b-y)= 0.03\pm0.03, a distance modulus of V_0-M_V= 9.7\pm0.2 and [Fe/H]= 0.01\pm0.14. Through isochrone fitting we found an age of log t= 9.6\pm0.1 (4.2\pm0.2 Gyr). A clump of approximately 60 stars around V= 16, (b-y)= 0.4 could be interpreted as a population of pre-cataclysmic variable stars (if members), or as a stream of field G-type stars placed at twice the distance of the cluster (if non-members).
[ { "version": "v1", "created": "Sun, 22 Apr 2007 15:00:24 GMT" } ]
2015-05-13T00:00:00
[ [ "Balaguer-Núñez", "L.", "" ], [ "Galadí-Enríquez", "D.", "" ], [ "Jordi", "C.", "" ] ]
0704.2888
Charles Dermer
Charles D. Dermer (NRL)
The Extragalactic Gamma Ray Background
5 pages, 1 figures, in Proc. of the 1st GLAST Symposium, Feb 5-8, 2007, Stanford, AIP, Eds. S. Ritz, P. F. Michelson, and C. Meegan; references added, minor changes
AIP Conf.Proc.921:122-126,2007
10.1063/1.2757282
null
astro-ph
null
One way to understand the nonthermal history of the universe is by establishing the origins of the unresolved and truly diffuse extragalactic gamma rays. Dim blazars and radio/gamma galaxies certainly make an important contribution to the galactic gamma-ray background given the EGRET discoveries, and previous treatments are reviewed and compared with a new analysis. Studies of the gamma-ray intensity from cosmic rays in star-forming galaxies and from structure formation shocks, as well as from dim GRBs, are briefly reviewed. A new hard gamma-ray source class seems required from the predicted aggregate intensity compared with the measured intensity.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 15:05:26 GMT" }, { "version": "v2", "created": "Thu, 10 May 2007 19:35:47 GMT" } ]
2009-06-23T00:00:00
[ [ "Dermer", "Charles D.", "", "NRL" ] ]
0704.2889
Marc Mars
Lars Andersson, Marc Mars, Walter Simon
Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
33 pages, no figures, typos corrected, minor changes in presentation
null
null
null
gr-qc
null
The present work extends our short communication Phys. Rev. Lett. 95, 111102 (2005). For smooth marginally outer trapped surfaces (MOTS) in a smooth spacetime we define stability with respect to variations along arbitrary vectors v normal to the MOTS. After giving some introductory material about linear non self-adjoint elliptic operators, we introduce the stability operator L_v and we characterize stable MOTS in terms of sign conditions on the principal eigenvalue of L_v. The main result shows that given a strictly stable MOTS S contained in one leaf of a given reference foliation in a spacetime, there is an open marginally outer trapped tube (MOTT), adapted to the reference foliation, which contains S. We give conditions under which the MOTT can be completed. Finally, we show that under standard energy conditions on the spacetime, the MOTT must be either locally achronal, spacelike or null.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 15:13:38 GMT" }, { "version": "v2", "created": "Tue, 22 May 2007 15:13:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Andersson", "Lars", "" ], [ "Mars", "Marc", "" ], [ "Simon", "Walter", "" ] ]
0704.2890
Yan Soibelman
Yan Soibelman
Quantum p-adic spaces and quantum p-adic groups
Few mistprints corrected. To appear in Alexander Reznikov Memorial Volume
null
null
null
math.QA hep-th math.AG math.RA math.RT
null
We discuss examples of non-commutative spaces over non-archimedean fields. Those include non-commutative and quantum affinoid algebras, quantized K3 surfaces and quantized locally analytic p-adic groups.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 15:25:26 GMT" }, { "version": "v2", "created": "Sun, 26 Aug 2007 09:36:22 GMT" } ]
2007-08-26T00:00:00
[ [ "Soibelman", "Yan", "" ] ]
0704.2891
Dmitry Gourevitch
Avraham Aizenbud and Dmitry Gourevitch
Schwartz functions on Nash manifolds
35 pages, LaTex. v3:minor changes + reference to results of duCloux
International Mathematics Research Notices, Vol. 2008, 2008: rnm155-37
10.1093/imrn/rnm155
null
math.AG math.RT
null
In this paper we extend the notions of Schwartz functions, tempered functions and generalized Schwartz functions to Nash (i.e. smooth semi-algebraic) manifolds. We reprove for this case classically known properties of Schwartz functions on $R^n$ and build some additional tools which are important in representation theory.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 15:46:15 GMT" }, { "version": "v2", "created": "Fri, 27 Apr 2007 11:31:13 GMT" }, { "version": "v3", "created": "Wed, 5 Dec 2007 13:45:09 GMT" } ]
2008-01-20T00:00:00
[ [ "Aizenbud", "Avraham", "" ], [ "Gourevitch", "Dmitry", "" ] ]
0704.2892
Gianluca Colo`
Sara Fracasso and Gianluca Colo'
Spin-isospin nuclear response using the existing microscopic Skyrme functionals
Submitted to Phys. Rev. C
Phys.Rev.C76:044307,2007
10.1103/PhysRevC.76.044307
null
nucl-th
null
Our paper aims at providing an answer to the question whether one can reliably describe the properties of the most important spin-isospin nuclear excitations, by using the available non-relativistic Skyrme energy functionals. Our method, which has been introduced in a previous publication devoted to the Isobaric Analog states, is the self-consistent Quasiparticle Random Phase Approximation (QRPA). The inclusion of pairing is instrumental for describing a number of experimentally measured spherical systems which are characterized by open shells. We discuss the effect of isoscalar and isovector pairing correlations. Based on the results for the Gamow-Teller resonance in $^{90}$Zr, in $^{208}$Pb and in few Sn isotopes, we draw definite conclusions on the performance of different Skyrme parametrizations, and we suggest improvements for future fits. We also use the spin-dipole resonance as a benchmark of our statements.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 16:36:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Fracasso", "Sara", "" ], [ "Colo'", "Gianluca", "" ] ]
0704.2893
Dimitri M. Gangardt
D.M. Gangardt, S.K. Nechaev
Wetting transition on a one-dimensional disorder
16 pages, 5 figures
null
10.1007/s10955-007-9433-7
null
cond-mat.stat-mech cond-mat.dis-nn
null
We consider wetting of a one-dimensional random walk on a half-line $x\ge 0$ in a short-ranged potential located at the origin $x=0$. We demonstrate explicitly how the presence of a quenched chemical disorder affects the pinning-depinning transition point. For small disorders we develop a perturbative technique which enables us to compute explicitly the averaged temperature (energy) of the pinning transition. For strong disorder we compute the transition point both numerically and using the renormalization group approach. Our consideration is based on the following idea: the random potential can be viewed as a periodic potential with the period $n$ in the limit $n\to\infty$. The advantage of our approach stems from the ability to integrate exactly over all spatial degrees of freedoms in the model and to reduce the initial problem to the analysis of eigenvalues and eigenfunctions of some special non-Hermitian random matrix with disorder--dependent diagonal and constant off-diagonal coefficients. We show that even for strong disorder the shift of the averaged pinning point of the random walk in the ensemble of random realizations of substrate disorder is indistinguishable from the pinning point of the system with preaveraged (i.e. annealed) Boltzmann weight.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 16:59:10 GMT" } ]
2009-11-13T00:00:00
[ [ "Gangardt", "D. M.", "" ], [ "Nechaev", "S. K.", "" ] ]
0704.2894
Brant M. Johnson
PHENIX Collaboration, S.S. Adler, et al
Measurement of density correlations in pseudorapidity via charged particle multiplicity fluctuations in Au+Au collisions at sqrt(s_NN)=200 GeV
331 authors, 32 pages text, RevTeX4, 7 figures, 27 tables. Submitted to Physical Review C. Plain text data tables for the points plotted in figures for this and previous PHENIX publications are (or will be) publicly available at http://www.phenix.bnl.gov/papers.html
Phys.Rev.C76:034903,2007
10.1103/PhysRevC.76.034903
null
nucl-ex
null
Longitudinal density correlations of produced matter in Au+Au collisions at sqrt(s_NN)=200 GeV have been measured from the inclusive charged particle distributions as a function of pseudorapidity window sizes. The extracted \alpha \xi parameter, related to the susceptibility of the density fluctuations in the long wavelength limit, exhibits a non-monotonic behavior as a function of the number of participant nucleons, N_part. A local maximum is seen at N_part ~ 90, with corresponding energy density based on the Bjorken picture of \epsilon_Bj \tau ~ 2.4 GeV/(fm^2 c) with a transverse area size of 60 fm^2. This behavior may suggest a critical phase boundary based on the Ginzburg-Landau framework.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 17:23:52 GMT" } ]
2008-11-26T00:00:00
[ [ "PHENIX Collaboration", "", "" ], [ "Adler", "S. S.", "" ] ]
0704.2895
Herbert Hamber
Herbert W. Hamber
Discrete and Continuum Quantum Gravity
222 pages, 42 figures
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
I review discrete and continuum approaches to quantized gravity based on the covariant Feynman path integral approach.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 17:34:49 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 23:17:57 GMT" }, { "version": "v3", "created": "Mon, 19 Jan 2009 20:32:07 GMT" } ]
2009-01-19T00:00:00
[ [ "Hamber", "Herbert W.", "" ] ]
0704.2896
Adrian Melott
Bruce S.Lieberman and Adrian L. Melott (University of Kansas)
Considering the Case for Biodiversity Cycles: Reexamining the Evidence for Periodicity in the Fossil Record
Minor modifications to reflect final published version
PLoS ONE 2(8): e759 (2007)
10.1371/journal.pone.0000759
null
q-bio.PE astro-ph physics.geo-ph
null
Medvedev and Melott (2007) have suggested that periodicity in fossil biodiversity may be induced by cosmic rays which vary as the Solar System oscillates normal to the galactic disk. We re-examine the evidence for a 62 million year (Myr) periodicity in biodiversity throughout the Phanerozoic history of animal life reported by Rohde & Mueller (2005), as well as related questions of periodicity in origination and extinction. We find that the signal is robust against variations in methods of analysis, and is based on fluctuations in the Paleozoic and a substantial part of the Mesozoic. Examination of origination and extinction is somewhat ambiguous, with results depending upon procedure. Origination and extinction intensity as defined by RM may be affected by an artifact at 27 Myr in the duration of stratigraphic intervals. Nevertheless, when a procedure free of this artifact is implemented, the 27 Myr periodicity appears in origination, suggesting that the artifact may ultimately be based on a signal in the data. A 62 Myr feature appears in extinction, when this same procedure is used. We conclude that evidence for a periodicity at 62 Myr is robust, and evidence for periodicity at approximately 27 Myr is also present, albeit more ambiguous.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 12:08:35 GMT" }, { "version": "v2", "created": "Wed, 25 Jul 2007 18:25:49 GMT" }, { "version": "v3", "created": "Wed, 22 Aug 2007 15:03:22 GMT" } ]
2007-08-22T00:00:00
[ [ "Lieberman", "Bruce S.", "", "University of Kansas" ], [ "Melott", "Adrian L.", "", "University of Kansas" ] ]
0704.2897
Mark Sapir
A.Yu. Ol'shanskii, M.V. Sapir
A 2-generated 2-related group with no non-trivial finite factors
3 pages
null
null
null
math.GR math.GT
null
We construct a 2-generated 2-related group without non-trivial finite factors. That answers a question of J. Button.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 18:04:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Ol'shanskii", "A. Yu.", "" ], [ "Sapir", "M. V.", "" ] ]
0704.2898
Cojocaru
S. Cojocaru
Green's function of a finite chain and the discrete Fourier transform
preprint of the paper published in Int. J. Modern Physics B Vol. 20, No. 5 (2006) 593-605
International Journal of Modern Physics B Vol. 20, No. 5 (2006) 593-605
10.1142/S0217979206033401
null
math-ph math.MP
null
A new expression for the Green's function of a finite one-dimensional lattice with nearest neighbor interaction is derived via discrete Fourier transform. Solution of the Heisenberg spin chain with periodic and open boundary conditions is considered as an example. Comparison to Bethe ansatz clarifies the relation between the two approaches.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 18:09:06 GMT" } ]
2015-05-13T00:00:00
[ [ "Cojocaru", "S.", "" ] ]
0704.2899
Mark Sapir
M. V. Sapir
Some group theory problems
25 pages
null
null
null
math.GR math.GT
null
This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some necessary definitions and motivations, problems and some discussions of them. For each problem, I try to mention the author. If the author is not given, the problem, to the best of my knowledge, was formulated by me first.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 18:15:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Sapir", "M. V.", "" ] ]
0704.2900
Marco Maggesi
Andre' Hirschowitz and Marco Maggesi
Higher-order theories
12 pages
null
null
null
cs.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We extend our approach to abstract syntax (with binding constructions) through modules and linearity. First we give a new general definition of arity, yielding the companion notion of signature. Then we obtain a modularity result as requested by Ghani and Uustalu (2003): in our setting, merging two extensions of syntax corresponds to building an amalgamated sum. Finally we define a natural notion of equation concerning a signature and prove the existence of an initial semantics for a so-called representable signature equipped with a set of equations.
[ { "version": "v1", "created": "Sun, 22 Apr 2007 18:19:46 GMT" }, { "version": "v2", "created": "Tue, 9 Sep 2008 15:45:27 GMT" } ]
2008-09-09T00:00:00
[ [ "Hirschowitz", "Andre'", "" ], [ "Maggesi", "Marco", "" ] ]