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0708.2149
Xiaoming Huo
Xiaoming Huo, Xuelei (Sherry) Ni
When do stepwise algorithms meet subset selection criteria?
Published at http://dx.doi.org/10.1214/009053606000001334 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 2, 870-887
10.1214/009053606000001334
IMS-AOS-AOS0190
math.ST stat.TH
null
Recent results in homotopy and solution paths demonstrate that certain well-designed greedy algorithms, with a range of values of the algorithmic parameter, can provide solution paths to a sequence of convex optimization problems. On the other hand, in regression many existing criteria in subset selection (including $C_p$, AIC, BIC, MDL, RIC, etc.) involve optimizing an objective function that contains a counting measure. The two optimization problems are formulated as (P1) and (P0) in the present paper. The latter is generally combinatoric and has been proven to be NP-hard. We study the conditions under which the two optimization problems have common solutions. Hence, in these situations a stepwise algorithm can be used to solve the seemingly unsolvable problem. Our main result is motivated by recent work in sparse representation, while two others emerge from different angles: a direct analysis of sufficiency and necessity and a condition on the mostly correlated covariates. An extreme example connected with least angle regression is of independent interest.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 07:34:13 GMT" } ]
2009-09-29T00:00:00
[ [ "Huo", "Xiaoming", "", "Sherry" ], [ "Xuelei", "", "", "Sherry" ], [ "Ni", "", "" ] ]
0708.2150
Lingzhi Zhou
Songnian Chen, Lingzhi Zhou
Local partial likelihood estimation in proportional hazards regression
Published at http://dx.doi.org/10.1214/009053606000001299 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 2, 888-916
10.1214/009053606000001299
IMS-AOS-AOS0182
math.ST stat.TH
null
Fan, Gijbels and King [Ann. Statist. 25 (1997) 1661--1690] considered the estimation of the risk function $\psi (x)$ in the proportional hazards model. Their proposed estimator is based on integrating the estimated derivative function obtained through a local version of the partial likelihood. They proved the large sample properties of the derivative function, but the large sample properties of the estimator for the risk function itself were not established. In this paper, we consider direct estimation of the relative risk function $\psi (x_2)-\psi (x_1)$ for any location normalization point $x_1$. The main novelty in our approach is that we select observations in shrinking neighborhoods of both $x_1$ and $x_2$ when constructing a local version of the partial likelihood, whereas Fan, Gijbels and King [Ann. Statist. 25 (1997) 1661--1690] only concentrated on a single neighborhood, resulting in the cancellation of the risk function in the local likelihood function. The asymptotic properties of our estimator are rigorously established and the variance of the estimator is easily estimated. The idea behind our approach is extended to estimate the differences between groups. A simulation study is carried out.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:02:47 GMT" } ]
2007-08-22T00:00:00
[ [ "Chen", "Songnian", "" ], [ "Zhou", "Lingzhi", "" ] ]
0708.2151
Ignacio Ferreras
I. Ferreras (King's College London), P. Saha (Zurich), L. L. R. Williams (Minnesota) and S. Burles (MIT)
Mapping the distribution of luminous and dark matter in strong lensing galaxies
10 pages, 6 figures. To appear in "Dark Galaxies and Lost Baryons", IAU244 conference proceedings
IAU Symp.244:206-215,2008
10.1017/S1743921307014007
null
astro-ph
null
We present the distribution of luminous and dark matter in a set of strong lensing (early-type) galaxies. By combining two independent techniques - stellar population synthesis and gravitational lensing - we can compare the baryonic and dark matter content in these galaxies within the regions that can be probed using the images of the lensed background source. Two samples were studied, extracted from the CASTLES and SLACS surveys. The former probes a wider range of redshifts and allows us to explore the mass distribution out to ~5Re. The high resolution optical images of the latter (using HST/ACS) are used to show a pixellated map of the ratio between total and baryonic matter. We find dark matter to be absent in the cores of these galaxies, with an increasing contribution at projected radii R>Re. The slopes are roughly compatible with an isothermal slope (better interpreted as an adiabatically contracted NFW profile), but a large scatter in the slope exists among galaxies. There is a trend suggesting most massive galaxies have a higher content of dark matter in the regions probed by this analysis.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:09:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Ferreras", "I.", "", "King's College London" ], [ "Saha", "P.", "", "Zurich" ], [ "Williams", "L. L. R.", "", "Minnesota" ], [ "Burles", "S.", "", "MIT" ] ]
0708.2152
Jean-Ren\'e Chazottes
Jean Ren\'e Chazottes, Pierre Collet, Frank Redig
Coupling, concentration inequalities and stochastic dynamics
33 pages, J. Math. Phys. 49 (2008). A typo in inequality (24) was corrected
null
null
null
math.PR math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the context of interacting particle systems, we study the influence of the action of the semigroup on the concentration property of Lipschitz functions. As an application, this gives a new approach to estimate the relaxation speed to equilibrium of interacting particle systems. We illustrate our approach in a variety of examples for which we obtain several new results with short and non-technical proofs. These examples include the symmetric and asymmetric exclusion process and high-temperature spin-flip dynamics ("Glauber dynamics"). We also give a new proof of the Poincar\'e inequality, based on coupling, in the context of one-dimensional Gibbs measures. In particular, we cover the case of polynomially decaying potentials, where the log-Sobolev inequality does not hold.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:14:32 GMT" }, { "version": "v2", "created": "Fri, 11 Jan 2008 10:40:10 GMT" }, { "version": "v3", "created": "Fri, 5 Sep 2008 09:36:38 GMT" }, { "version": "v4", "created": "Mon, 29 Jun 2015 08:18:12 GMT" } ]
2015-06-30T00:00:00
[ [ "Chazottes", "Jean René", "" ], [ "Collet", "Pierre", "" ], [ "Redig", "Frank", "" ] ]
0708.2153
Chang Xuan Mao
Chang Xuan Mao, Bruce G. Lindsay
Estimating the number of classes
Published at http://dx.doi.org/10.1214/009053606000001280 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 2, 917-930
10.1214/009053606000001280
IMS-AOS-AOS0180
math.ST stat.TH
null
Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds prevents the existence of locally unbiased and informative estimators and restricts confidence intervals to be one-sided. Confidence intervals for the number of classes are also necessarily one-sided. A sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classes.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:19:50 GMT" } ]
2007-08-22T00:00:00
[ [ "Mao", "Chang Xuan", "" ], [ "Lindsay", "Bruce G.", "" ] ]
0708.2154
Hiroyuki Chihara
Hiroyuki Chihara
Gain of analyticity for semilinear Schroedinger equations
37 pages, no figure, minor change
null
null
null
math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss gain of analyticity phenomenon of solutions to the initial value problem for semilinear Schroedinger equations with gauge invariant nonlinearity. We prove that if the initial data decays exponentially, then the solution becomes real-analytic in the space variable and a Gevrey function of order 2 in the time variable except in the initial plane. Our proof is based on the energy estimates developed in our previous work and on fine summation formulae concerned with a matrix norm.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:21:40 GMT" }, { "version": "v2", "created": "Sat, 8 Mar 2008 14:11:50 GMT" }, { "version": "v3", "created": "Sun, 15 Jun 2008 14:23:09 GMT" } ]
2008-06-15T00:00:00
[ [ "Chihara", "Hiroyuki", "" ] ]
0708.2155
Franc Forstneric
Barbara Drinovec Drnovsek and Franc Forstneric
Strongly pseudoconvex domains as subvarieties of complex manifolds
null
Amer. J. Math., 132 (2010), 331--360
null
null
math.CV math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper (a sequel to B. Drinovec Drnovsek and F. Forstneric, Holomorphic curves in complex spaces, Duke Math. J. 139 (2007), 203-253) we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly pseudoconvex Stein domains. Our sufficient condition for the existence of such subvarieties in a complex manifold is expressed in terms of the Morse indices and the number of positive Levi eigenvalues of an exhaustion function on the manifold. Examples show that our condition cannot be weakened in general. Optimal results are obtained for subvarieties of this type in complements of compact complex submanifolds with Griffiths positive normal bundle; in the projective case these results generalize classical theorems of Remmert, Bishop and Narasimhan concerning proper holomorphic maps and embeddings to complex Euclidean spaces.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:39:35 GMT" }, { "version": "v2", "created": "Thu, 26 Nov 2009 18:39:49 GMT" }, { "version": "v3", "created": "Thu, 14 Jan 2010 13:37:03 GMT" } ]
2011-09-02T00:00:00
[ [ "Drnovsek", "Barbara Drinovec", "" ], [ "Forstneric", "Franc", "" ] ]
0708.2156
Siddhartha Lal
Siddhartha Lal and Mukul S. Laad
Ordering from frustration in a strongly correlated one-dimensional system
12 pages, 4 figures
null
null
null
cond-mat.str-el
null
We study a one-dimensional extended Hubbard model with longer-range Coulomb interactions at quarter-filling in the strong coupling limit. We find two different charge-ordered (CO) ground states as the strength of the longer range interactions is varied. At lower energies, these CO states drive two different spin-ordered ground states. A variety of response functions computed here bear a remarkable resemblance to recent experimental observations for organic TMTSF systems, and so we propose that these systems are proximate to a QCP associated with T=0 charge order. For a ladder system relevant to $Sr_{14}Cu_{24}O_{41}$, we find in-chain CO, rung-dimer, and orbital antiferromagnetic ordered phases with varying interchain couplings and superconductivity with hole-doping. RPA studies of many chains (ladders) coupled reveal a phase diagram with the ordered phase extended to finite temperatures and a phase boundary ending at a quantum critical point (QCP). Critical quantum fluctuations at the QCP are found to enhance the transverse dispersion, leading to a dimensional crossover and a T=0 decofinement transition.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 09:14:26 GMT" } ]
2007-08-17T00:00:00
[ [ "Lal", "Siddhartha", "" ], [ "Laad", "Mukul S.", "" ] ]
0708.2157
Daniel Gazda
D. Gazda, E. Friedman, A. Gal, J. Mares
Dynamics of \bar{K} and multi-\bar{K} nuclei
31 pages, 11 figures, revised Figures 8 and 10, and Table II, and related text
Phys.Rev.C76:055204,2007; Erratum-ibid. Phys.Rev.C 77, 019904(E) (2008)
10.1103/PhysRevC.76.055204; 10.1103/PhysRevC.77.019904
null
nucl-th
null
We report on self-consistent calculations of single-K^- nuclear states and multi-Kbar nuclear states in 12C, 16O, 40Ca and 208Pb within the relativistic mean-field (RMF) approach. Gradient terms motivated by the p-wave resonance Sigma(1385) are found to play a secondary role for single-K^- nuclear systems where the mean-field concept is acceptable. Significant contributions from the Kbar N -> pi Lambda conversion mode, and from the nonmesonic Kbar NN -> YN conversion modes which are assumed to follow a rho^2 density dependence, are evaluated for the deep binding-energy range of over 100 MeV where the decay channel Kbar N -> pi Sigma is closed. Altogether we obtain K^- total decay widths of 50-100 MeV for binding energies exceeding 100 MeV in single-K^- nuclei. Multi-Kbar nuclear calculations indicate that the binding energy per Kbar meson saturates upon increasing the number of Kbar mesons embedded in the nuclear medium. The nuclear and Kbar densities increase only moderately and are close to saturation, with no indication of any kaon-condensation precursor.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:50:42 GMT" }, { "version": "v2", "created": "Thu, 13 Dec 2007 13:34:24 GMT" }, { "version": "v3", "created": "Fri, 4 Jan 2008 12:37:03 GMT" } ]
2013-01-11T00:00:00
[ [ "Gazda", "D.", "" ], [ "Friedman", "E.", "" ], [ "Gal", "A.", "" ], [ "Mares", "J.", "" ] ]
0708.2158
Olivier Mousis
C. Thomas, O. Mousis, V. Ballenegger and S. Picaud
Clathrate hydrates as a sink of noble gases in Titan's atmosphere
Astronomy & Astrophysics Letters, in press
null
10.1051/0004-6361:20078072
null
astro-ph
null
We use a statistical thermodynamic approach to determine the composition of clathrate hydrates which may form from a multiple compound gas whose composition is similar to that of Titan's atmosphere. Assuming that noble gases are initially present in this gas phase, we calculate the ratios of xenon, krypton and argon to species trapped in clathrate hydrates. We find that these ratios calculated for xenon and krypton are several orders of magnitude higher than in the coexisting gas at temperature and pressure conditions close to those of Titan's present atmosphere at ground level. Furthermore we show that, by contrast, argon is poorly trapped in these ices. This trapping mechanism implies that the gas-phase is progressively depleted in xenon and krypton when the coexisting clathrate hydrates form whereas the initial abundance of argon remains almost constant. Our results are thus compatible with the deficiency of Titan's atmosphere in xenon and krypton measured by the {\it Huygens} probe during its descent on January 14, 2005. However, in order to interpret the subsolar abundance of primordial Ar also revealed by {\it Huygens}, other processes that occurred either during the formation of Titan or during its evolution must be also invoked.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:58:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Thomas", "C.", "" ], [ "Mousis", "O.", "" ], [ "Ballenegger", "V.", "" ], [ "Picaud", "S.", "" ] ]
0708.2159
Siddhartha Lal
Siddhartha Lal and Mukul S. Laad
From frustrated insulators to correlated anisotropic metals: charge ordering and quantum criticality in coupled chain systems
11 pages, 4 figures
null
10.1088/0953-8984/20/23/235213
null
cond-mat.str-el
null
A recent study revealed the dynamics of the charge sector of a one-dimensional quarter-filled electronic system with extended Hubbard interactions to be that of an effective pseudospin transverse-field Ising model (TFIM) in the strong coupling limit. With the twin motivations of studying the co-existing charge and spin order found in strongly correlated chain systems and the effects of inter-chain couplings, we investigate the phase diagram of coupled effective (TFIM) systems. A bosonisation and RG analysis for a two-leg TFIM ladder yields a rich phase diagram showing Wigner/Peierls charge order and Neel/dimer spin order. In a broad parameter regime, the orbital antiferromagnetic phase is found to be stable. An intermediate gapless phase of finite width is found to lie in between two charge-ordered gapped phases. Kosterlitz-Thouless transitions are found to lead from the gapless phase to either of the charge-ordered phases. A detailed analysis is also carried out for the dimensional crossover physics when many such pseudospin systems are coupled to one another. Importantly, the analysis reveals the key role of critical quantum fluctuations in driving the strong dispersion in the transverse directions, as well as a T=0 deconfinement transition. Our work is potentially relevant for a unified description of a class of strongly correlated, quarter-filled chain and ladder systems.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 08:58:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Lal", "Siddhartha", "" ], [ "Laad", "Mukul S.", "" ] ]
0708.2160
Christian Ausoni
Christian Ausoni, John Rognes
Rational algebraic K-theory of topological K-theory
22 pages
Geom. Topol. 16 (2012) 2037-2065
10.2140/gt.2012.16.2037
null
math.KT math.AT
null
We show that after rationalization there is a homotopy fiber sequence BBU -> K(ku) -> K(Z). We interpret this as a correspondence between the virtual 2-vector bundles over a space X and their associated anomaly bundles over the free loop space LX. We also rationally compute K(KU) by using the localization sequence, and K(MU) by a method that applies to all connective S-algebras.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:39:43 GMT" } ]
2014-11-11T00:00:00
[ [ "Ausoni", "Christian", "" ], [ "Rognes", "John", "" ] ]
0708.2161
Pratip Kr. Mukhopadhyay Dr.
P. K. Mukhopadhyay and S. N. Kaul
Dynamic elastic properties and magnetic susceptibility across the austenite-martensite transformation in site-disordered ferromagnetic Ni-Fe-Al alloy
5 figures
null
10.1063/1.2896649
null
cond-mat.mtrl-sci cond-mat.other
null
Besides permitting an accurate determination of the ferromagnetic-to-paramagnetic phase transition temperature and the characteristic temperatures for the beginning and end of the growth of martensite (austenite) phase at the expense of austenite (martensite) phase while cooling (heating), the results of an extensive ac susceptibility, sound velocity and internal friction investigation of the thermoelastic martensitic transformation in melt-quenched (site-disordered) Ni55Fe20Al25 alloy provide a clear experimental evidence for the following. Irreversible thermoelastic changes (thermal hysteresis) occur in the austenite phase in the premartensitic regime. In the heating cycle, the system retains the "memory" of the initiation and subsequent growth of the martensitic phase (at the expense of the parent austenite phase) that had taken place during the cooling cycle in the austenite-martensite phase coexistence region. We report and discuss these novel findings in this communication.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 09:10:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Mukhopadhyay", "P. K.", "" ], [ "Kaul", "S. N.", "" ] ]
0708.2162
Chan-Ho Suh
Chan-Ho Suh
Normal Surface Theory in Link Diagrams
This paper is withdrawn
null
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 09:40:07 GMT" }, { "version": "v2", "created": "Sat, 20 Oct 2007 03:55:58 GMT" }, { "version": "v3", "created": "Mon, 26 Jan 2009 14:59:18 GMT" } ]
2009-01-26T00:00:00
[ [ "Suh", "Chan-Ho", "" ] ]
0708.2163
Mark Chanachowicz
M. Chanachowicz, C. Chanu, R. G. McLenaghan
R-separation of variables for the conformally invariant Laplace equation
13 pages, submitted to Journal of Geometry and Physics. Replaced due to a factor of 1/4 error found in some presented formulae; note this does not affect the results derived and discussed - only in the initial presentation
null
null
null
math-ph math.MP
null
The conditions for R-separation of variables for the conformally invariant Laplace equation on an n-dimensional Riemannian manifold are determined and compared with the conditions for the additive separation of the null geodesic Hamilton-Jacobi equation. The case of 3-dimensions is examined in detail and it is proven that on any conformally flat manifold the two equations separate in the same coordinates.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:35:20 GMT" }, { "version": "v2", "created": "Tue, 25 Mar 2008 02:42:26 GMT" } ]
2008-03-25T00:00:00
[ [ "Chanachowicz", "M.", "" ], [ "Chanu", "C.", "" ], [ "McLenaghan", "R. G.", "" ] ]
0708.2164
Yue-Liang Wu
Qing-Jun Zhang, Ling-Mei Cheng and Yue-Liang Wu (KITPC/ITP-CAS)
Constraining Dark Energy From Splitting Angle Statistic of Strong Gravitational Lenses
30 pages, 10 figures, references added, improved version to be published in ApJ
Astrophys.J.694:1402-1412,2009
10.1088/0004-637X/694/2/1402
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Utilizing the CLASS statistical sample, we investigate the constraint of the splitting angle statistic of strong gravitational lenses(SGL) on the equation-of-state parameter $w=p/\rho$ of the dark energy in the flat cold dark matter cosmology. Through the comoving number density of dark halos described by Press-Schechter theory, dark energy affects the efficiency with which dark-matter concentrations produce strong lensing signals. The constraints on both constant $w$ and time-varying $w(z)=w_0+w_az/(1+z)$ from the SGL splitting angle statistic are consistently obtained by adopting a two model combined mechanism of dark halo density profile matched at the mass scale $M_c$. Our main observations are: (a) the resulting model parameter $M_c$ is found to be $M_c \sim 1.4$ for both constant $w$ and time-varying $w(z)$, which is larger than $M_c \sim 1$ obtained in literatures; (b) the fitting results for the constant $w$ are found to be $w =-0.89^{+0.49}_{-0.26}$ and $w =-0.94^{+0.57}_{-0.16}$ for the source redshift distributions of the Gaussian models $g(z_s)$ and $g^c(z_s)$ respectively, which are consistent with the $\Lambda \rm CDM$ at 95% C.L; (c) the time-varying $w(z)$ is found to be for $\sigma_8 = 0.74$: $(M_c; w_0, w_a)=(1.36; -0.92, -1.31)$ and $(M_c; w_0, w_a)=(1.38; -0.89, -1.21)$ for $g(z_s)$ and $g^c(z_s)$ respectively.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:14:16 GMT" }, { "version": "v2", "created": "Fri, 23 Nov 2007 06:47:37 GMT" }, { "version": "v3", "created": "Mon, 3 Nov 2008 07:12:54 GMT" }, { "version": "v4", "created": "Thu, 18 Dec 2008 13:33:44 GMT" } ]
2009-06-23T00:00:00
[ [ "Zhang", "Qing-Jun", "", "KITPC/ITP-CAS" ], [ "Cheng", "Ling-Mei", "", "KITPC/ITP-CAS" ], [ "Wu", "Yue-Liang", "", "KITPC/ITP-CAS" ] ]
0708.2165
Frank Redig
P. Collet, C. Giardina, F. Redig
Matching with shift for one-dimensional Gibbs measures
Published in at http://dx.doi.org/10.1214/08-AAP588 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2009, Vol. 19, No. 4, 1581-1602
10.1214/08-AAP588
IMS-AAP-AAP588
math.PR math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider matching with shifts for Gibbsian sequences. We prove that the maximal overlap behaves as $c\log n$, where $c$ is explicitly identified in terms of the thermodynamic quantities (pressure) of the underlying potential. Our approach is based on the analysis of the first and second moment of the number of overlaps of a given size. We treat both the case of equal sequences (and nonzero shifts) and independent sequences.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:14:44 GMT" }, { "version": "v2", "created": "Sat, 8 Mar 2008 16:18:35 GMT" }, { "version": "v3", "created": "Tue, 1 Sep 2009 08:31:17 GMT" } ]
2009-09-01T00:00:00
[ [ "Collet", "P.", "" ], [ "Giardina", "C.", "" ], [ "Redig", "F.", "" ] ]
0708.2166
Florence Durret Dr
Dmitry A. Prokhorov and Florence Durret
An approximate theory for substructure propagation in clusters
Accepted for publication in Astronomy & Astrophysics
null
10.1051/0004-6361:20077542
null
astro-ph
null
The existence of dark matter can be proved in an astrophysical context by the discovery of a system in which the observed baryons and the inferred dark matter are spatially segregated, such as the bullet cluster (1E0657-558). The full descriptions of the dark matter halo and X-ray gas substructure motions are necessary to forecast the location of the dark halo from X-ray maps, which can be confirmed by the detection of a galaxy concentration or by gravitational lensing. We present an analytical hydrodynamic model to determine the distance between the X-ray and dark-matter components and the Mach number of the merger shock. An approximate solution is given for the problem of the substructure propagation in merging clusters. A new method to predict the position of a dark matter halo in clusters, where there is a separation between the X-ray gas and the dark halo, is proposed and applied to the clusters 1E0657-558 and Abell 1763.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:24:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Prokhorov", "Dmitry A.", "" ], [ "Durret", "Florence", "" ] ]
0708.2167
Claudio Nassif
Claudio Nassif, J. A. Helayel-Neto and P. R. Silva
Thompson's renormalization group method applied to QCD at high energy scale
13 pages, no figures and 28 references. arXiv admin note: substantial text overlap with arXiv:0706.2553
null
null
null
hep-ph
null
We use a renormalization group method to treat QCD-vacuum behavior specially closer to the regime of asymptotic freedom. QCD-vacuum behaves effectively like a "paramagnetic system" of a classical theory in the sense that virtual color charges (gluons) emerges in it as a spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles. Due to that strong classical analogy with the paramagnetism of Landau's theory,we will be able to use a certain Landau effective action without temperature and phase transition for just representing QCD-vacuum behavior at higher energies as being magnetization of a paramagnetic material in the presence of a magnetic field $H$. This reasoning will allow us to apply Thompson's approach to such an action in order to extract an "effective susceptibility" ($\chi>0$) of QCD-vacuum. It depends on logarithmic of energy scale $u$ to investigate hadronic matter. Consequently we are able to get an ``effective magnetic permeability" ($\mu>1$) of such a "paramagnetic vacuum". Actually,as QCD-vacuum must obey Lorentz invariance,the attainment of $\mu>1$ must simply require that the "effective electrical permissivity" is $\epsilon<1$ in such a way that $\mu\epsilon=1$ ($c^2=1$). This leads to the anti-screening effect where the asymptotic freedom takes place. We will also be able to extend our investigation to include both the diamagnetic fermionic properties of QED-vacuum (screening) and the paramagnetic bosonic properties of QCD-vacuum (anti-screening) into the same formalism by obtaining a $\beta$-function at 1 loop,where both the bosonic and fermionic contributions are considered.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:35:16 GMT" } ]
2016-04-08T00:00:00
[ [ "Nassif", "Claudio", "" ], [ "Helayel-Neto", "J. A.", "" ], [ "Silva", "P. R.", "" ] ]
0708.2168
Nam Dao
D. N. H. Nam, N. V. Dai, L. V. Hong, N. X. Phuc, S. C. Yu, M. Tachibana and E. Takayama-Muromachi
Room-temperature magnetocaloric effect in La0.7Sr0.3Mn1-xM'xO3 (M'=Al, Ti)
Revtex4 style, 4 pages, 7 figures
null
null
null
cond-mat.mtrl-sci cond-mat.str-el
null
Magnetic entropy and adiabatic temperature changes in and above the room-temperature region has been measured for La0.7Sr0.3Mn1-xM'xO3 (M' = Al, Ti) by means of magnetization and heat capacity measurements in magnetic fields up to 6 T. The magnetocaloric effect becomes largest at the ferromagnetic ordering temperature Tc that is tuned to ~300 K by the substitution of Al or Ti for Mn. While the substitution of Al for Mn drastically reduces the entropy change, it extends considerably the working temperature span and improves the relative cooling power. The magnetocaloric effect seems to be only lightly affected by Ti substitution. Although manganites have been considered potential for magnetic refrigerants, the magnetocaloric effect in these materials is limited due to the existence of short-range ferromagnetic correlations above Tc.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:51:01 GMT" } ]
2007-08-17T00:00:00
[ [ "Nam", "D. N. H.", "" ], [ "Dai", "N. V.", "" ], [ "Hong", "L. V.", "" ], [ "Phuc", "N. X.", "" ], [ "Yu", "S. C.", "" ], [ "Tachibana", "M.", "" ], [ "Takayama-Muromachi", "E.", "" ] ]
0708.2169
Sergey Ganichev
B. Wittmann, R. Ravash, H. Diehl, S. N. Danilov, Z. D. Kvon, S. A. Tarasenko, E. L. Ivchenko, N. N. Mikhailov, S. A. Dvoretsky, W. Prettl, and S. D. Ganichev
Photogalvanic effects in HgTe quantum wells
2 pages, 2 figures
null
10.1007/978-1-4020-8425-6_2
null
cond-mat.mes-hall
null
We report on the observation of the terahertz radiation induced circular (CPGE) and linear (LPGE) photogalvanic effects in HgTe quantum wells. The current response is well described by the phenomenological theory of CPGE and LPGE.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 10:53:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Wittmann", "B.", "" ], [ "Ravash", "R.", "" ], [ "Diehl", "H.", "" ], [ "Danilov", "S. N.", "" ], [ "Kvon", "Z. D.", "" ], [ "Tarasenko", "S. A.", "" ], [ "Ivchenko", "E. L.", "" ], [ "Mikhailov", "N. N.", "" ], [ "Dvoretsky", "S. A.", "" ], [ "Prettl", "W.", "" ], [ "Ganichev", "S. D.", "" ] ]
0708.2170
Lawrence J. Peterson
Lawrence J. Peterson
Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
SIGMA 3 (2007), 081, 7 pages
10.3842/SIGMA.2007.081
null
math.DG gr-qc hep-th math-ph math.MP
null
The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference. This paper summarizes the comments made during the panel discussion.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:05:32 GMT" } ]
2008-04-24T00:00:00
[ [ "Peterson", "Lawrence J.", "" ] ]
0708.2171
Alexander Pukhov
A. Pukhov and I. Kostyukov
Control of laser wake field acceleration by plasma density profile
null
Phys.Rev.E77:025401,2008
10.1103/PhysRevE.77.025401
null
physics.plasm-ph physics.acc-ph
null
We show that both the maximum energy gain and the accelerated beam quality can be efficiently controlled by the plasma density profile. Choosing a proper density gradient one can uplift the dephasing limitation. When a periodic wake field is exploited, the phase synchronism between the bunch of relativistic particles and the plasma wave can be maintained over extended distances due to the plasma density gradient. Putting electrons into the $n-$th wake period behind the driving laser pulse, the maximum energy gain is increased by the factor $2\pi n$ over that in the case of uniform plasma. The acceleration is limited then by laser depletion rather than by dephasing. Further, we show that the natural energy spread of the particle bunch acquired at the acceleration stage can be effectively removed by a matched deceleration stage, where a larger plasma density is used.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:14:34 GMT" } ]
2008-11-26T00:00:00
[ [ "Pukhov", "A.", "" ], [ "Kostyukov", "I.", "" ] ]
0708.2172
Marc Hitschfeld
M. Hitschfeld, C. Kramer, K. F. Schuster, S. Garcia-Burillo, J. Stutzki
Gravitational stability in the disk of M51
4 pages, 3 Figures: Galaxies in the Local Volume, Sydney, Conference Proceedings Contribution
null
10.1007/978-1-4020-6933-8_36
null
astro-ph
null
Star formation laws, like i.e. the Schmidt law relating star formation rate and total gas density, have been studied in several spiral galaxies but the underlying physics are not yet well understood. M51, as a nearby face-on, grand design spiral galaxy studied in many line transitions, is an ideal target to study the connection between physical conditions of the gas and star formation activity. In this contribution we combine molecular, atomic, total gas and stellar surface densities and study the gravitational stability of the gas (Schuster et al.2007, Hitschfeld et al. in prep.). From our IRAM-30m 12 CO2-1 map and complementary HI-, Radio Continuum- and ACS-HST B-band-data we derive maps of the total gas density and the stellar surface density to study the gravitational stability of the gas via the Toomre Q parameter.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:21:49 GMT" } ]
2015-05-13T00:00:00
[ [ "Hitschfeld", "M.", "" ], [ "Kramer", "C.", "" ], [ "Schuster", "K. F.", "" ], [ "Garcia-Burillo", "S.", "" ], [ "Stutzki", "J.", "" ] ]
0708.2173
James Cheney
James Cheney, Amal Ahmed, and Umut Acar
Provenance as Dependency Analysis
Long version of paper in 2007 Symposium on Database Programming Languages; revised November 2009
null
null
null
cs.DB cs.PL
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Provenance is information recording the source, derivation, or history of some information. Provenance tracking has been studied in a variety of settings; however, although many design points have been explored, the mathematical or semantic foundations of data provenance have received comparatively little attention. In this paper, we argue that dependency analysis techniques familiar from program analysis and program slicing provide a formal foundation for forms of provenance that are intended to show how (part of) the output of a query depends on (parts of) its input. We introduce a semantic characterization of such dependency provenance, show that this form of provenance is not computable, and provide dynamic and static approximation techniques.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:11:43 GMT" }, { "version": "v2", "created": "Tue, 22 Dec 2009 15:25:13 GMT" } ]
2009-12-22T00:00:00
[ [ "Cheney", "James", "" ], [ "Ahmed", "Amal", "" ], [ "Acar", "Umut", "" ] ]
0708.2174
Piotr Podles
Jerzy Kijowski, Piotr Podles
A geometric analysis of the Maxwell field in a vicinity of a multipole particle and new special functions
33 pages, LaTeX file
J. Geom. Phys. 59 (2009) 693-709 (slightly shortened and modified version, slightly changed title)
10.1016/j.geomphys.2009.02.007
null
physics.class-ph
null
A method of solving Maxwell equations in a vicinity of a multipole particle (moving along an arbitrary trajectory) is proposed. The method is based on a geometric construction of a trajectory-adapted coordinate system, which simplifies considerably the equations. The solution is given in terms of a series, where a new family of special functions arises in a natural way. Singular behaviour of the field near to the particle may be analyzed this way up to an arbitrary order. Application to the self-interaction problems in classical electrodynamics is discussed.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:15:02 GMT" } ]
2009-04-18T00:00:00
[ [ "Kijowski", "Jerzy", "" ], [ "Podles", "Piotr", "" ] ]
0708.2175
Sergey Ganichev
Ze-Don Kvon, Sergey N. Danilov, Nikolay N. Mikhailov, Sergey A. Dvoretsky, Wilhelm Prettl, Sergey D. Ganichev
Cyclotron resonance photoconductivity of a two-dimensional electron gas in HgTe quantum wells
3 pages, 2 figures
null
10.1016/j.physe.2007.08.115
null
cond-mat.mes-hall
null
Far-infrared cyclotron resonance photoconductivity (CRP) is investigated in HgTe quantum wells (QWs) of various widths grown on (013) oriented GaAs substrates. It is shown that CRP is caused by the heating of two-dimensional electron gas (2DEG). From the resonance magnetic field strength effective masses and their dependence on the carrier concentration is obtained. We found that the effective mass in each sample slightly increases from the value (0.0260 \pm 0.0005)m_0 at N_s = 2.2x10^11 cm^(-2) to (0.0335 \pm 0.0005)m_0 at N_s = 9.6x10^11 cm^(-2). Compared to determination of effective masses by the temperature dependence of magnitudes of the Shubnikov-de Haas (SdH) oscillations used so far in this material our measurements demonstrate that the CRP provides a more accurate (about few percents) tool. Combining optical methods with transport measurements we found that the transport time substantially exceeds the cyclotron resonance lifetime as well as the quantum lifetime which is the shortest.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:15:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Kvon", "Ze-Don", "" ], [ "Danilov", "Sergey N.", "" ], [ "Mikhailov", "Nikolay N.", "" ], [ "Dvoretsky", "Sergey A.", "" ], [ "Prettl", "Wilhelm", "" ], [ "Ganichev", "Sergey D.", "" ] ]
0708.2176
David Smith
David M. D. Smith, Chiu Fan Lee, Jukka-Pekka Onnela, Neil F. Johnson
Link-space formalism for network analysis
This updated version has been expanded to include a number of new results. 19 pages, 11 figures. Minor Typos corrected
Phys. Rev. E 77, 036112 (2008)
10.1103/PhysRevE.77.036112
null
physics.soc-ph
null
We introduce the link-space formalism for analyzing network models with degree-degree correlations. The formalism is based on a statistical description of the fraction of links l_{i,j} connecting nodes of degrees i and j. To demonstrate its use, we apply the framework to some pedagogical network models, namely, random-attachment, Barabasi-Albert preferential attachment and the classical Erdos and Renyi random graph. For these three models the link-space matrix can be solved analytically. We apply the formalism to a simple one-parameter growing network model whose numerical solution exemplifies the effect of degree-degree correlations for the resulting degree distribution. We also employ the formalism to derive the degree distributions of two very simple network decay models, more specifically, that of random link deletion and random node deletion. The formalism allows detailed analysis of the correlations within networks and we also employ it to derive the form of a perfectly non-assortative network for arbitrary degree distribution.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:17:22 GMT" }, { "version": "v2", "created": "Fri, 17 Aug 2007 15:06:25 GMT" }, { "version": "v3", "created": "Fri, 18 Jan 2008 14:58:32 GMT" }, { "version": "v4", "created": "Mon, 4 Feb 2008 17:22:35 GMT" } ]
2009-10-08T00:00:00
[ [ "Smith", "David M. D.", "" ], [ "Lee", "Chiu Fan", "" ], [ "Onnela", "Jukka-Pekka", "" ], [ "Johnson", "Neil F.", "" ] ]
0708.2177
Moulinath Banerjee
Moulinath Banerjee
Likelihood based inference for monotone response models
Published at http://dx.doi.org/10.1214/009053606000001578 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 931-956
10.1214/009053606000001578
IMS-AOS-AOS0196
math.ST stat.TH
null
The behavior of maximum likelihood estimates (MLEs) and the likelihood ratio statistic in a family of problems involving pointwise nonparametric estimation of a monotone function is studied. This class of problems differs radically from the usual parametric or semiparametric situations in that the MLE of the monotone function at a point converges to the truth at rate $n^{1/3}$ (slower than the usual $\sqrt{n}$ rate) with a non-Gaussian limit distribution. A framework for likelihood based estimation of monotone functions is developed and limit theorems describing the behavior of the MLEs and the likelihood ratio statistic are established. In particular, the likelihood ratio statistic is found to be asymptotically pivotal with a limit distribution that is no longer $\chi^2$ but can be explicitly characterized in terms of a functional of Brownian motion. Applications of the main results are presented and potential extensions discussed.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:18:23 GMT" } ]
2009-09-29T00:00:00
[ [ "Banerjee", "Moulinath", "" ] ]
0708.2178
Kerttu Viironen
K. Viironen, G. Delgado-Inglada, A. Mampaso, L. Magrini, R. L. M. Corradi
The S2N2 metallicity calibrator and the abundance gradient of M 33
10 pages, 3 figures and 2 tables. Accepted for publication in MNRAS
null
10.1111/j.1365-2966.2007.12357.x
null
astro-ph
null
We introduce the log(Ha/[SII]6717+6731) vs. log(Ha/[NII]6583) (S2N2) diagnostic diagram as metallicity and ionisation parameter indicator for HII regions in external galaxies. The location of HII regions in the S2N2 diagram was studied both empirically and theoretically. We found that, for a wide range of metallicities, the S2N2 diagram gives single valued results in the metallicity-ionisation parameter plane. We demonstrate that the S2N2 diagram is a powerful tool to estimate metallicities of high-redshift (z ~ 2) HII galaxies. Finally, we derive the metallicity for 76 HII regions in M33 from the S2N2 diagram and calculate an O/H abundance gradient for this galaxy of -0.05 (+-0.01) dex kpc^-1.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:55:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Viironen", "K.", "" ], [ "Delgado-Inglada", "G.", "" ], [ "Mampaso", "A.", "" ], [ "Magrini", "L.", "" ], [ "Corradi", "R. L. M.", "" ] ]
0708.2179
Lasha Ephremidze
L. Ephremidze, G. Janashia and E. Lagvilava
A simple proof of the matrix-valued Fej\'er-Riesz theorem
null
null
null
null
math.CV
null
A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case
[ { "version": "v1", "created": "Thu, 16 Aug 2007 11:50:54 GMT" } ]
2007-08-17T00:00:00
[ [ "Ephremidze", "L.", "" ], [ "Janashia", "G.", "" ], [ "Lagvilava", "E.", "" ] ]
0708.2180
Antonio Cuevas
Antonio Cuevas, Ricardo Fraiman, Alberto Rodr\'iguez-Casal
A nonparametric approach to the estimation of lengths and surface areas
Published at http://dx.doi.org/10.1214/009053606000001532 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 1031-1051
10.1214/009053606000001532
IMS-AOS-AOS0206
math.ST stat.TH
null
The Minkowski content $L_0(G)$ of a body $G\subset{\mathbb{R}}^d$ represents the boundary length (for $d=2$) or the surface area (for $d=3$) of $G$. A method for estimating $L_0(G)$ is proposed. It relies on a nonparametric estimator based on the information provided by a random sample (taken on a rectangle containing $G$) in which we are able to identify whether every point is inside or outside $G$. Some theoretical properties concerning strong consistency, $L_1$-error and convergence rates are obtained. A practical application to a problem of image analysis in cardiology is discussed in some detail. A brief simulation study is provided.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:56:14 GMT" } ]
2007-08-22T00:00:00
[ [ "Cuevas", "Antonio", "" ], [ "Fraiman", "Ricardo", "" ], [ "Rodríguez-Casal", "Alberto", "" ] ]
0708.2181
Niels Obers
Roberto Emparan, Troels Harmark, Vasilis Niarchos, Niels A. Obers, Maria J. Rodriguez
The Phase Structure of Higher-Dimensional Black Rings and Black Holes
61 pages, 6 figures, latex. v2: Added refs., typos corrected, improved section 8. v3: minor changes, version appearing in JHEP
JHEP 0710:110,2007
10.1088/1126-6708/2007/10/110
null
hep-th
null
We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D>=5 by matching the near-horizon solution for a bent boosted black string, to a linearized gravity solution away from the horizon. The rotating black ring solution has a regular horizon of topology S^1 x S^{D-3} and incorporates the balancing condition of the ring as a zero-tension condition. For D=5 our method reproduces the thin ring limit of the exact black ring solution. For D>=6 we show that the black ring has a higher entropy than the Myers-Perry black hole in the ultra-spinning regime. By exploiting the correspondence between ultra-spinning black holes and black membranes on a two-torus, we take steps towards qualitatively completing the phase diagram of rotating blackfolds with a single angular momentum. We are led to propose a connection between MP black holes and black rings, and between MP black holes and black Saturns, through merger transitions involving two kinds of `pinched' black holes. More generally, the analogy suggests an infinite number of pinched black holes of spherical topology leading to a complicated pattern of connections and mergers between phases.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:11:02 GMT" }, { "version": "v2", "created": "Thu, 30 Aug 2007 10:00:26 GMT" }, { "version": "v3", "created": "Mon, 12 Nov 2007 08:31:39 GMT" } ]
2010-02-03T00:00:00
[ [ "Emparan", "Roberto", "" ], [ "Harmark", "Troels", "" ], [ "Niarchos", "Vasilis", "" ], [ "Obers", "Niels A.", "" ], [ "Rodriguez", "Maria J.", "" ] ]
0708.2182
Pierre Pansu
Inkang Kim (SNU), Pierre Pansu (LM-Orsay)
Local rigidity in quaternionic hyperbolic space
Version 2 corrects a serious mistake: fuchsian surface groups in Sp(2,1) are flexible and not rigid as claimed in version 1
null
null
null
math.DG
null
In this note, we study deformations of quaternionic hyperbolic lattices in larger quaternionic hyperbolic spaces and prove local rigidity results. On the other hand, surface groups are shown to be more flexible in quaternionic hyperbolic plane than in complex hyperbolic plane.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:15:42 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 06:36:59 GMT" } ]
2007-10-25T00:00:00
[ [ "Kim", "Inkang", "", "SNU" ], [ "Pansu", "Pierre", "", "LM-Orsay" ] ]
0708.2183
Jadunath De
J. N. De and S. K. Samaddar
Nuclear condensation and the equation of state of nuclear matter
18 pages and 11 figures. Phys. Rev. C (in press)
Phys.Rev.C76:044607,2007
10.1103/PhysRevC.76.044607
null
nucl-th
null
The isothermal compression of a dilute nucleonic gas invoking cluster degrees of freedom is studied in an equilibrium statistical model; this clusterized system is found to be more stable than the pure nucleonic system. The equation of state (EoS) of this matter shows features qualitatively very similar to the one obtained from pure nucleonic gas. In the isothermal compression process, there is a sudden enhancement of clusterization at a transition density rendering features analogous to the gas-liquid phase transition in normal dilute nucleonic matter. Different observables like the caloric curves, heat capacity, isospin distillation, etc. are studied in both the models. Possible changes in the observables due to recently indicated medium modifications in the symmetry energy are also investigated.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:19:48 GMT" }, { "version": "v2", "created": "Mon, 1 Oct 2007 09:15:29 GMT" } ]
2008-11-26T00:00:00
[ [ "De", "J. N.", "" ], [ "Samaddar", "S. K.", "" ] ]
0708.2184
Yun Ju Sung
Yun Ju Sung, Charles J. Geyer
Monte Carlo likelihood inference for missing data models
Published at http://dx.doi.org/10.1214/009053606000001389 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 990-1011
10.1214/009053606000001389
IMS-AOS-AOS0194
math.ST stat.TH
null
We describe a Monte Carlo method to approximate the maximum likelihood estimate (MLE), when there are missing data and the observed data likelihood is not available in closed form. This method uses simulated missing data that are independent and identically distributed and independent of the observed data. Our Monte Carlo approximation to the MLE is a consistent and asymptotically normal estimate of the minimizer $\theta^*$ of the Kullback--Leibler information, as both Monte Carlo and observed data sample sizes go to infinity simultaneously. Plug-in estimates of the asymptotic variance are provided for constructing confidence regions for $\theta^*$. We give Logit--Normal generalized linear mixed model examples, calculated using an R package.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:41:38 GMT" } ]
2007-08-22T00:00:00
[ [ "Sung", "Yun Ju", "" ], [ "Geyer", "Charles J.", "" ] ]
0708.2185
Jiri Rosicky
J. Rosicky
On combinatorial model categories
null
Appl. Cat. Str. 17 (2009), 303-316
null
null
math.CT
null
Combinatorial model categories were introduced by J. H. Smith as model categories which are locally presentable and cofibrantly generated. He has not published his results yet but proofs of some of them were presented by T. Beke or D. Dugger. We are contributing to this endeavour by proving that weak equivalences in a combinatorial model category form an accessible category. We also present some new results about weak equivalences and cofibrations in combinatorial model categories.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:05:34 GMT" } ]
2012-05-02T00:00:00
[ [ "Rosicky", "J.", "" ] ]
0708.2186
Francois-Xavier Machu
Francois-Xavier Machu
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
SIGMA 3 (2007), 082, 31 pages
10.3842/SIGMA.2007.082
null
math.AG math-ph math.MP
null
The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve. We give an explicit parametrization of all such connections, determine their monodromy, differential Galois group and the underlying rank-2 vector bundle. The latter is described in terms of elementary transforms. The question of its (semi)-stability is addressed.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:47:57 GMT" } ]
2008-04-24T00:00:00
[ [ "Machu", "Francois-Xavier", "" ] ]
0708.2187
Nawaf Bou-Rabee
Nawaf Bou-Rabee and Houman Owhadi
Stochastic Variational Integrators
21 pages, 8 figures
IMA Journal of Numerical Analysis, 2008, Vol. 29, 421-443
10.1093/imanum/drn018
null
math.PR
null
This paper presents a continuous and discrete Lagrangian theory for stochastic Hamiltonian systems on manifolds. The main result is to derive stochastic governing equations for such systems from a critical point of a stochastic action. Using this result the paper derives Langevin-type equations for constrained mechanical systems and implements a stochastic analog of Lagrangian reduction. These are easy consequences of the fact that the stochastic action is intrinsically defined. Stochastic variational integrators (SVIs) are developed using a discretized stochastic variational principle. The paper shows that the discrete flow of an SVI is a.s. symplectic and in the presence of symmetry a.s. momentum-map preserving. A first-order mean-square convergent SVI for mechanical systems on Lie groups is introduced. As an application of the theory, SVIs are exhibited for multiple, randomly forced and torqued rigid-bodies interacting via a potential.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 07:43:32 GMT" }, { "version": "v2", "created": "Tue, 23 Oct 2007 12:47:03 GMT" } ]
2009-06-02T00:00:00
[ [ "Bou-Rabee", "Nawaf", "" ], [ "Owhadi", "Houman", "" ] ]
0708.2188
Mario Micallef
Norio Ejiri and Mario Micallef
Comparison between Second Variation of Area and Second Variation of Energy of a Minimal Surface
14 pages
null
null
null
math.DG
null
The conformal parameterisation of a minimal surface is harmonic. Therefore, a minimal surface is a critical point of both the energy functional and the area functional. In this paper, we compare the Morse index of a minimal surface as a critical point of the area functional with its Morse index as a critical point of the energy functional. The difference between these indices is at most the real dimension of Teichmuller space. This comparison allows us to obtain surprisingly good upper bounds on the index of minimal surfaces of finite total curvature in Euclidean space of any dimension. We also bound the index of a minimal surface in an arbitrary Riemannian manifold by the area and genus of the surface, and the dimension and geometry of the ambient manifold.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 19:58:27 GMT" } ]
2007-08-17T00:00:00
[ [ "Ejiri", "Norio", "" ], [ "Micallef", "Mario", "" ] ]
0708.2189
Jeremy Nicholas Butterfield
Jeremy Butterfield
Reconsidering Relativistic Causality
49 pages latex, no figures. Forthcoming in International Studies in the Philosophy of Science, volume 21, issue 3, October 2007
Int.Stud.Phil.Sci.21:295-328,2007
null
null
quant-ph
null
I discuss the idea of relativistic causality, i.e. the requirement that causal processes or signals can propagate only within the light-cone. After briefly locating this requirement in the philosophy of causation, my main aim is to draw philosophers' attention to the fact that it is subtle, indeed problematic, in relativistic quantum physics: there are scenarios in which it seems to fail. I consign to an Appendix two such scenarios, which are familiar to philosophers of physics: the pilot-wave approach, and the Newton-Wigner representation. I instead stress two unfamiliar scenarios: the Drummond-Hathrell and Scharnhorst effects. These effects also illustrate a general moral in the philosophy of geometry: that the mathematical structures, especially the metric tensor, that represent geometry get their geometric significance by dint of detailed physical arguments.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:52:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Butterfield", "Jeremy", "" ] ]
0708.2190
Anthony Flatters
Anthony Flatters
Primitive Divisors of some Lehmer-Pierce Sequences
10 pages
null
null
null
math.NT
null
We study the primitive divisors of the terms of $(\Delta_n)_{n \geq 1}$, where $\Delta_n=N_{K/ \mathbb{Q}}(u^n-1)$ for $K$ a real quadratic field, and $u>1$ a unit element of its ring of integers. The methods used allow us to find the terms of the sequence that do not have a primitive prime divisor.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:56:27 GMT" } ]
2007-08-17T00:00:00
[ [ "Flatters", "Anthony", "" ] ]
0708.2191
Yahya Ould Hamidoune
Yahya O. Hamidoune
The global isoperimetric methodology applied to Kneser's Theorem
13 pages
null
null
null
math.NT
null
We give in the present work a new methodology that allows to give isoperimetric proofs, for Kneser's Theorem and Kemperman's structure Theory and most sophisticated results of this type. As an illustration we present a new proof of Kneser's Theorem.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 12:59:57 GMT" } ]
2007-08-17T00:00:00
[ [ "Hamidoune", "Yahya O.", "" ] ]
0708.2192
Jeremy Nicholas Butterfield
Jeremy Butterfield
Stochastic Einstein Locality Revisited
59 pages latex, 3 figures. Forthcoming in The British Journal for the Philosophy of Science
null
null
null
quant-ph
null
I discuss various formulations of stochastic Einstein locality (SEL), which is a version of the idea of relativistic causality, i.e. the idea that influences propagate at most as fast as light. SEL is similar to Reichenbach's Principle of the Common Cause (PCC), and Bell's Local Causality. My main aim is to discuss formulations of SEL for a fixed background spacetime. I previously argued that SEL is violated by the outcome dependence shown by Bell correlations, both in quantum mechanics and in quantum field theory. Here I re-assess those verdicts in the light of some recent literature which argues that outcome dependence does not violate the PCC. I argue that the verdicts about SEL still stand. Finally, I briefly discuss how to formulate relativistic causality if there is no fixed background spacetime.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:01:39 GMT" } ]
2007-08-17T00:00:00
[ [ "Butterfield", "Jeremy", "" ] ]
0708.2193
Matti Lassas j
Matias Dahl, Anna Kirpichnikova, Matti Lassas
Focusing waves in unknown media by modified time reversal iteration
null
null
null
null
math.AP math.OC
null
We study the wave equation in a bounded domain or on a compact Riemannian manifold with boundary. Assume that we are given the hyperbolic Neumann-to-Dirichlet map on the boundary corresponding to physical boundary measurements. We consider how to focus waves, that is, how to find Neumann boundary values so that at a given time the corresponding wave converges to a delta distribution $\delta_y$ while the time derivative of the wave converges to zero. Such boundary value are generated by an iterative sequence of measurements. In each iteration step we apply time reversal and other simple operators to measured data and compute boundary values for the next iteration step. The key feature of the algorithm is that it does not require knowledge of the coefficients in the wave equation, that is, the material parameters inside the media. However, we assume that the point $y$ where the wave focuses is known in travel time coordinates.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:17:09 GMT" } ]
2007-08-17T00:00:00
[ [ "Dahl", "Matias", "" ], [ "Kirpichnikova", "Anna", "" ], [ "Lassas", "Matti", "" ] ]
0708.2194
Eugenio R. Bezerra de Mello
E. R. Bezerra de Mello
Fermionic vacuum polarization in higher-dimensional global monopole spacetime
21 pages, 3 figures
Phys.Rev.D76:125021,2007
10.1103/PhysRevD.76.125021
null
hep-th gr-qc
null
In this paper we analyse the vacuum polarization effects associated with a massless fermionic field in a higher-dimensional global monopole spacetime in the "braneworld" scenario. In this context we admit that the our Universe, the bulk, is represented by a flat $(n-1)-$dimensional brane having a global monopole in a extra transverse three dimensional submanifold. We explicitly calculate the renormalized vacuum average of the energy-momentum tensor, $<T_A^B(x)>_{Ren.}$, admitting the global monopole as being a point-like object. We observe that this quantity depends crucially on the value of $n$, and we provide explicit expressions to it for specific values attributed to $n$.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:19:26 GMT" } ]
2008-11-26T00:00:00
[ [ "de Mello", "E. R. Bezerra", "" ] ]
0708.2195
Hacene Belbachir
Hacene Belbachir (USTHB), Sadek Bouroubi (USTHB), Abdelkader Khelladi (USTHB)
Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution
9 pages
null
null
null
math.CO math.PR
null
Using an explicit computable expression of ordinary multinomials, we establish three remarkable connections, with the q-generalized Fibonacci sequence, the exponential partial Bell partition polynomials and the density of convolution powers of the discrete uniform distribution. Identities and various combinatorial relations are derived.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:21:00 GMT" } ]
2007-08-17T00:00:00
[ [ "Belbachir", "Hacene", "", "USTHB" ], [ "Bouroubi", "Sadek", "", "USTHB" ], [ "Khelladi", "Abdelkader", "", "USTHB" ] ]
0708.2196
Aranya Bhattacherjee Dr.
Aranya B. Bhattacherjee
Superfluid properties of a Bose-Einstein condensate in an optical lattice confined in a cavity
12 pages, 10 figures, Accepted for Publication in Optics Communication 2008
null
10.1016/j.optcom.2008.01.039
null
cond-mat.stat-mech
null
We study the effect of a one dimensional optical lattice in a cavity field with quantum properties on the superfluid dynamics of a Bose-Einstein condensate(BEC). In the cavity the influence of atomic backaction and the external driving pump become important and strongly modify the optical potential. Due to the strong coupling between the condensate wavefunction and the cavity modes, the cavity light field develops a band structure. This study reveals that the pump and the cavity emerges as a new handle to control the superfluid properties of the BEC.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:22:54 GMT" }, { "version": "v2", "created": "Sun, 27 Jan 2008 18:00:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Bhattacherjee", "Aranya B.", "" ] ]
0708.2197
Ji Zhu
Saharon Rosset, Ji Zhu
Piecewise linear regularized solution paths
Published at http://dx.doi.org/10.1214/009053606000001370 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 1012-1030
10.1214/009053606000001370
IMS-AOS-AOS0192
math.ST stat.ML stat.TH
null
We consider the generic regularized optimization problem $\hat{\mathsf{\beta}}(\lambda)=\arg \min_{\beta}L({\sf{y}},X{\sf{\beta}})+\lambda J({\sf{\beta}})$. Efron, Hastie, Johnstone and Tibshirani [Ann. Statist. 32 (2004) 407--499] have shown that for the LASSO--that is, if $L$ is squared error loss and $J(\beta)=\|\beta\|_1$ is the $\ell_1$ norm of $\beta$--the optimal coefficient path is piecewise linear, that is, $\partial \hat{\beta}(\lambda)/\partial \lambda$ is piecewise constant. We derive a general characterization of the properties of (loss $L$, penalty $J$) pairs which give piecewise linear coefficient paths. Such pairs allow for efficient generation of the full regularized coefficient paths. We investigate the nature of efficient path following algorithms which arise. We use our results to suggest robust versions of the LASSO for regression and classification, and to develop new, efficient algorithms for existing problems in the literature, including Mammen and van de Geer's locally adaptive regression splines.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:23:47 GMT" } ]
2007-08-22T00:00:00
[ [ "Rosset", "Saharon", "" ], [ "Zhu", "Ji", "" ] ]
0708.2198
Gleb Koshevoy
V. I. Danilov, A. V. Karzanov, G. A. Koshevoy
$B_2$-crystals: axioms, structure, models
33 pages, 9 figures, this paper is updated version of published version in Journal of Combinatorial Theory, Series A Volume 116, Issue 2, February 2009, Pages 265-289
null
null
null
math.RT math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a list of ``local'' axioms and an explicit combinatorial construction for the regular $B_2$-crystals (crystal graphs of highest weight integrable modules over $U_q(sp_4)$). Also a new combinatorial model for these crystals is developed.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:34:13 GMT" }, { "version": "v2", "created": "Wed, 8 Jan 2020 09:31:52 GMT" } ]
2020-01-09T00:00:00
[ [ "Danilov", "V. I.", "" ], [ "Karzanov", "A. V.", "" ], [ "Koshevoy", "G. A.", "" ] ]
0708.2199
Darren Glass
Jeff Achter, Darren Glass, Rachel Pries
Curves of given $p$-rank with trivial automorphism group
10 pages
Michigan Math. J. 56 (2008), no. 3, 583-592
null
null
math.NT
null
Let $k$ be an algebraically closed field of characteristic $p >0$. Suppose $g \geq 3$ and $0 \leq f \leq g$. We prove there is a smooth projective $k$-curve of genus $g$ and $p$-rank $f$ with no non-trivial automorphisms. In addition, we prove there is a smooth projective hyperelliptic $k$-curve of genus $g$ and $p$-rank $f$ whose only non-trivial automorphism is the hyperelliptic involution. The proof involves computations about the dimension of the moduli space of (hyperelliptic) $k$-curves of genus $g$ and $p$-rank $f$ with extra automorphisms.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:44:54 GMT" } ]
2016-01-15T00:00:00
[ [ "Achter", "Jeff", "" ], [ "Glass", "Darren", "" ], [ "Pries", "Rachel", "" ] ]
0708.2200
S\'ebastien Ray
S\'ebastien Ray
Supersymmetric and R symmetric vacua in Wess-Zumino models
null
null
null
LPTENS-07/38
hep-th
null
In the context of supersymmetric Wess-Zumino models with an R symmetry, we find some simple conditions on the R-charge content of the theory that imply the presence or absence of supersymmetric and R-symmetric vacua. The main result of this work is that the comparison between the number of R-charge 0 and R-charge 2 superfields is essential to the properties of the model as regards symmetry breaking. We also study possible exceptions to the Nelson-Seiberg theorem --finding that there are supersymmetric vacua that break R symmetry in generic models-- and the spontaneous breaking of R symmetry in supersummetry-breaking vacua, with some insight on the Coleman-Weinberg one-loop potential.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:49:00 GMT" } ]
2007-08-17T00:00:00
[ [ "Ray", "Sébastien", "" ] ]
0708.2201
David Leonard
David Leonard, Paul Mansfield
A Modified Borel Summation Technique
23 pages, 12 figures
null
null
null
quant-ph hep-th
null
We compare and contrast three different perturbative expansions for the quartic anharmonic oscillator wavefunction and apply a modified Borel summation technique to determine the energy eigenvalues. In the first two expansions this provides the energy eigenvalues directly however in the third method we tune the wavefunctions to achieve the correct large x behaviour. This tuning technique allows us to determine the energy eigenvalues up to an arbitrary level of accuracy with remarkable efficiency. We give numerical evidence to explain this behaviour. We also refine the modified Borel summation technique to improve its accuracy. The main sources of error are investigated with reasonable error corrections calculated.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:52:08 GMT" } ]
2007-08-21T00:00:00
[ [ "Leonard", "David", "" ], [ "Mansfield", "Paul", "" ] ]
0708.2202
Alfons Van Daele
A. Van Daele
Locally compact quantum groups. Radford's $S^4$ formula
null
null
null
null
math.QA math.OA
null
Let $A$ be a finite-dimensional Hopf algebra. The left and the right integrals on $A$ are related by means of a distinguished group-like element $\delta$ of $A$. Similarly, there is this element $\hat\delta$ in the dual Hopf algebra $\hat A$. Radford showed that $$S^4(a)=\delta^{-1}(\hat\delta\triangleright a \triangleleft \hat\delta^{-1})\delta$$ for all $a$ in $A$ where $S$ is the antipode of $A$ and where $\triangleright$ and $\triangleleft$ are used to denote the standard left and right actions of $\hat A$ on $A$. The formula still holds for multiplier Hopf algebras with integrals (algebraic quantum groups). In the theory of locally compact quantum groups, an analytical form of Radford's formula can be proven (in terms of bounded operators on a Hilbert space). In this talk, we do not have the intention to discuss Radford's formula as such, but rather to use it, together with related formulas, for illustrating various aspects of the road that takes us from the theory of Hopf algebras (including compact quantum groups) to multiplier Hopf algebras (including discrete quantum groups) and further to the more general theory of locally compact quantum groups.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:52:16 GMT" } ]
2007-08-17T00:00:00
[ [ "Van Daele", "A.", "" ] ]
0708.2203
Sumiyoshi Abe
Sumiyoshi Abe (1,2) and Norikazu Suzuki (3) ((1) Mie University, Japan, (2) Institut Superieur des Materiaux et Mecaniques Avances, Le Mans, France, (3) Nihon University, Funabashi, Japan)
Earthquake Networks, Complex
A version supplemented with an addendum regarding the article of Sornette and Werner in the same volume
null
null
null
physics.geo-ph physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
An article for the Springer Encyclopedia of Complexity and System Science
[ { "version": "v1", "created": "Thu, 16 Aug 2007 13:54:51 GMT" }, { "version": "v2", "created": "Thu, 15 Oct 2009 12:24:15 GMT" } ]
2009-10-15T00:00:00
[ [ "Abe", "Sumiyoshi", "" ], [ "Suzuki", "Norikazu", "" ] ]
0708.2204
Ben Davies
Ben Davies (RIT/Leeds), Ren\'e D. Oudmaijer (Leeds) and Kailash C. Sahu (STScI)
Integral-Field Spectroscopy of the Post Red Supergiant IRC +10420: evidence for an axi-symmetric wind
22 pages, 9 figures, accepted for publication in ApJ. B&W-optimized version can be downloaded from http://www.cis.rit.edu/~bxdpci/pubs.html
null
10.1086/523692
null
astro-ph
null
We present NAOMI/OASIS adaptive-optics assisted integral-field spectroscopy of the transitional massive hypergiant IRC +10420, an extreme mass-losing star apparently in the process of evolving from a Red Supergiant toward the Wolf-Rayet phase. To investigate the present-day mass-loss geometry of the star, we study the appearance of the line-emission from the inner wind as viewed when reflected off the surrounding nebula. We find that, contrary to previous work, there is strong evidence for wind axi-symmetry, based on the equivalent-width and velocity variations of H$\alpha$ and Fe {\sc ii} $\lambda$6516. We attribute this behaviour to the appearance of the complex line-profiles when viewed from different angles. We also speculate that the Ti {\sc ii} emission originates in the outer nebula in a region analogous to the Strontium Filament of $\eta$ Carinae, based on the morphology of the line-emission. Finally, we suggest that the present-day axisymmetric wind of IRC +10420, combined with its continued blueward evolution, is evidence that the star is evolving toward the B[e] supergiant phase.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:16:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Davies", "Ben", "", "RIT/Leeds" ], [ "Oudmaijer", "René D.", "", "Leeds" ], [ "Sahu", "Kailash C.", "", "STScI" ] ]
0708.2205
Jens Thomas
J. Thomas (1,2), R. Jesseit (1), T. Naab (1), R. P. Saglia (2), A. Burkert (1), R. Bender (1,2) ((1) USM Munich, (2) MPE Garching)
Axisymmetric orbit models of N-body merger remnants: a dependency of reconstructed mass on viewing angle
28 pages, 39 figures; accepted for publication in MNRAS
null
10.1111/j.1365-2966.2007.12343.x
null
astro-ph
null
We model mock observations of collisionless N-body disc-disc mergers with an axisymmetric orbit superposition program that has been used to model Coma ellipticals. The remnants sample representatively the shapes of disc-disc mergers including prolate, triaxial and oblate objects. The aim is to better understand how the assumption of axial symmetry affects reconstructed masses and stellar motions of systems which are intrinsically not axisymmetric, whether it leads to a bias and how such a potential bias can be recognised in models of real galaxies. The mass recovery at the half-light radius depends on viewing-angle and intrinsic shape: edge-on views allow to reconstruct total masses with an accuracy between 20% (triaxial/prolate remnants) and 3% (oblate remnant). Masses of highly flattened, face-on systems are underestimated by up to 50%. Deviations in local mass densities can be larger where remnants are strongly triaxial or prolate. Luminous M/L are sensitive to box orbits in the remnants. Box orbits cause the central kinematics to vary with viewing-angle. Reconstructed luminous M/L and central masses follow this variation. Luminous M/L are always underestimated (up to a factor of 2.5). Respective dark halos in the models can be overestimated by about the same amount, depending again on viewing angle. Reconstructed velocity anisotropies depend on viewing angle and on the orbital composition of the remnant. We construct N-body realisations of the Schwarzschild models to discuss chaotic orbits and the virial equilibrium in our models. Apparently flattened, rotating ellipticals of intermediate mass are likely close to both, axial symmetry and edge-on orientation. Our results imply that Schwarzschild models allow a reconstruction of their masses and stellar anisotropies with high accuracy. (abridged)
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:19:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Thomas", "J.", "", "USM Munich", "MPE Garching" ], [ "Jesseit", "R.", "", "USM Munich" ], [ "Naab", "T.", "", "USM Munich" ], [ "Saglia", "R. P.", "", "MPE Garching" ], [ "Burkert", "A.", "", "USM Munich" ], [ "Bender", "R.", "", "USM Munich", "MPE Garching" ] ]
0708.2206
Robert Pelcovits
Jong-Bong Lee, Robert A. Pelcovits and Robert B. Meyer
Role of electrostatics in the texture of islands in free standing ferroelectric liquid crystal films
null
Phys Rev E 75, 011701 (2007)
10.1103/PhysRevE.75.051701
null
cond-mat.soft
null
Curved textures of ferroelectric smectic C* liquid crystals produce space charge when they involve divergence of the spontaneous polarization field. Impurity ions can partially screen this space charge, reducing long range interactions to local ones. Through studies of the textures of islands on very thin free-standing smectic films, we see evidence of this effect, in which materials with a large spontaneous polarization have static structures described by a large effective bend elastic constant. To address this issue, we calculated the electrostatic free energy of a free standing film of ferroelectric liquid crystal, showing how the screened coulomb interaction contributes a term to the effective bend elastic constant, in the static long wavelength limit. We report experiments which support the main features of this model.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:30:09 GMT" } ]
2007-08-17T00:00:00
[ [ "Lee", "Jong-Bong", "" ], [ "Pelcovits", "Robert A.", "" ], [ "Meyer", "Robert B.", "" ] ]
0708.2207
Jin-Ting Zhang
Jin-Ting Zhang, Jianwei Chen
Statistical inferences for functional data
Published at http://dx.doi.org/10.1214/009053606000001505 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 1052-1079
10.1214/009053606000001505
IMS-AOS-AOS0200
math.ST stat.TH
null
With modern technology development, functional data are being observed frequently in many scientific fields. A popular method for analyzing such functional data is ``smoothing first, then estimation.'' That is, statistical inference such as estimation and hypothesis testing about functional data is conducted based on the substitution of the underlying individual functions by their reconstructions obtained by one smoothing technique or another. However, little is known about this substitution effect on functional data analysis. In this paper this problem is investigated when the local polynomial kernel (LPK) smoothing technique is used for individual function reconstructions. We find that under some mild conditions, the substitution effect can be ignored asymptotically. Based on this, we construct LPK reconstruction-based estimators for the mean, covariance and noise variance functions of a functional data set and derive their asymptotics. We also propose a GCV rule for selecting good bandwidths for the LPK reconstructions. When the mean function also depends on some time-independent covariates, we consider a functional linear model where the mean function is linearly related to the covariates but the covariate effects are functions of time. The LPK reconstruction-based estimators for the covariate effects and the covariance function are also constructed and their asymptotics are derived. Moreover, we propose a $L^2$-norm-based global test statistic for a general hypothesis testing problem about the covariate effects and derive its asymptotic random expression. The effect of the bandwidths selected by the proposed GCV rule on the accuracy of the LPK reconstructions and the mean function estimator is investigated via a simulation study. The proposed methodologies are illustrated via an application to a real functional data set collected in climatology.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:30:56 GMT" } ]
2009-09-29T00:00:00
[ [ "Zhang", "Jin-Ting", "" ], [ "Chen", "Jianwei", "" ] ]
0708.2208
Romuald A. Janik
Romuald A. Janik, Tomasz Lukowski
Wrapping interactions at strong coupling -- the giant magnon
35 pages, 2 figures; v2: comments and references added
Phys.Rev.D76:126008,2007
10.1103/PhysRevD.76.126008
null
hep-th
null
We derive generalized Luscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS_5xS^5 superstring these formulas encode leading wrapping interaction effects. We apply the generalized mu-term formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov and Zamaklar. The agreement involved a Borel resummation of all even loop-orders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:48:01 GMT" }, { "version": "v2", "created": "Tue, 11 Sep 2007 11:04:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Janik", "Romuald A.", "" ], [ "Lukowski", "Tomasz", "" ] ]
0708.2209
Ivan S. N. Booth
Ivan Booth, Stephen Fairhurst
Extremality conditions for isolated and dynamical horizons
13 pages, 4 figures, added reference; v3 appendix added with proof of result from section IIID, some discussion and references added. Version to appear in PRD
Phys.Rev.D77:084005,2008
10.1103/PhysRevD.77.084005
null
gr-qc
null
A maximally rotating Kerr black hole is said to be extremal. In this paper we introduce the corresponding restrictions for isolated and dynamical horizons. These reduce to the standard notions for Kerr but in general do not require the horizon to be either stationary or rotationally symmetric. We consider physical implications and applications of these results. In particular we introduce a parameter e which characterizes how close a horizon is to extremality and should be calculable in numerical simulations.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:50:25 GMT" }, { "version": "v2", "created": "Fri, 14 Sep 2007 16:01:19 GMT" }, { "version": "v3", "created": "Fri, 4 Apr 2008 19:29:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Booth", "Ivan", "" ], [ "Fairhurst", "Stephen", "" ] ]
0708.2210
Edouard Brezin
E. Brezin and S. Hikami
Intersection theory from duality and replica
null
Commun.Math.Phys.283:507-521,2008
10.1007/s00220-008-0519-0
null
hep-th math-ph math.MP
null
Kontsevich's work on Airy matrix integrals has led to explicit results for the intersection numbers of the moduli space of curves. In this article we show that a duality between k-point functions on $N\times N$ matrices and N-point functions of $k\times k$ matrices, plus the replica method, familiar in the theory of disordered systems, allows one to recover Kontsevich's results on the intersection numbers, and to generalize them to other models. This provides an alternative and simple way to compute intersection numbers with one marked point, and leads also to some new results.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:50:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Brezin", "E.", "" ], [ "Hikami", "S.", "" ] ]
0708.2211
S. Dhara SKD
S. Dhara, P. Magudapathy, R. Kesavamoorthy, S. Kalavathi, K. G. M. Nair, G. M. Hsu, L. C. Chen, K. H. Chen, K. Santhakumar and T. Soga
Optical characterization of GaN by N+ implantation into GaAs at elevated temperature
9 pages, 4 figuresn Journal
Applied Physics Letters 87 (26) 281915 (2005)
10.1063/1.2099542
null
cond-mat.mtrl-sci
null
Both hexagonal wurtzite and cubic zinc blend GaN phases were synthesized in GaAs by 50 keV N+ implantation at 400 deg C and subsequent annealing at 900 deg C for 15 min in N2 ambient. Crystallographic structural and Raman scattering studies revealed that GaN phases were grown for fluence above 2x1017 cm-2. Temperature-dependent photoluminescence study showed sharp direct band-to-band transition peak ~3.32 eV at temperature <= 200K. The intermediate bandgap value, with respect to ~3.4 eV for hexagonal and ~3.27 eV for cubic phases of GaN is an indicative for the formation of mixed hexagonal and cubic phases.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:54:10 GMT" } ]
2007-08-17T00:00:00
[ [ "Dhara", "S.", "" ], [ "Magudapathy", "P.", "" ], [ "Kesavamoorthy", "R.", "" ], [ "Kalavathi", "S.", "" ], [ "Nair", "K. G. M.", "" ], [ "Hsu", "G. M.", "" ], [ "Chen", "L. C.", "" ], [ "Chen", "K. H.", "" ], [ "Santhakumar", "K.", "" ], [ "Soga", "T.", "" ] ]
0708.2212
Ion Oancea
I.P. Goulden, Alexandru Nica, Ion Oancea
Enumerative Properties of NC^B(p,q)
Revised version -- some corrections and new Section 6 concerning multi-annular partitions of type B. Accepted for publication in Annals of Combinatorics. 26 pages, 3 figures
null
null
null
math.CO math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We determine the rank generating function, the zeta polynomial and the Moebius function for the poset NC^B(p,q) of annular non-crossing partitions of type B, where p and q are two positive integers. We give an alternative treatment of some of these results in the case q=1, for which this poset is a lattice. We also consider the general case of multiannular non-crossing partitions of type B, and prove that this reduces to the cases of non-crossing partitions of type B in the annulus and in the disc.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:07:51 GMT" }, { "version": "v2", "created": "Thu, 20 Nov 2008 21:22:45 GMT" } ]
2008-11-20T00:00:00
[ [ "Goulden", "I. P.", "" ], [ "Nica", "Alexandru", "" ], [ "Oancea", "Ion", "" ] ]
0708.2213
Luai Jaff
Lua\"i Jaff (LIPN), G\'erard H.E. Duchamp (LIPN), Hatem Hadj Kacem, Cyrille Bertelle (LITIS)
Moderate Growth Time Series for Dynamic Combinatorics Modelisation
null
ECELM-2, Tirgu-Mures : Roumanie (2006)
null
null
cs.SC cs.MA math.CO
null
Here, we present a family of time series with a simple growth constraint. This family can be the basis of a model to apply to emerging computation in business and micro-economy where global functions can be expressed from local rules. We explicit a double statistics on these series which allows to establish a one-to-one correspondence between three other ballot-like strunctures.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:58:35 GMT" } ]
2007-08-17T00:00:00
[ [ "Jaff", "Luaï", "", "LIPN" ], [ "Duchamp", "Gérard H. E.", "", "LIPN" ], [ "Kacem", "Hatem Hadj", "", "LITIS" ], [ "Bertelle", "Cyrille", "", "LITIS" ] ]
0708.2214
Giovanni Falcone
Alfonso Di Bartolo, Giovanni Falcone
On the p-th root of a p-adic number
7 pages, no figure, submitted
null
null
null
math.NT
null
We give a sufficient and necessary condition for a p-adic integer to have p-th root in the ring of p-adic integers. The same condition holds clearly for residues modulo p^k. We give a proof that Fermat's last theorem is false for p-adic integers and for residues mod p^k.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 14:58:46 GMT" } ]
2007-08-17T00:00:00
[ [ "Di Bartolo", "Alfonso", "" ], [ "Falcone", "Giovanni", "" ] ]
0708.2215
Elizabeth Rodriguez Querts
H. Perez Rojas, E. Rodriguez Querts
Polarization rotation for light propagating non-parallel to a magnetic field in QED vacuum and in a dilute electron gas
changed content
null
null
null
hep-ph
null
The rotation of the polarization vector for light propagating perpendicular to an external constant external magnetic field $B$, is calculated in quantum vacuum, where it leads to different photon eigenmodes of the magnetized photon self-energy tensor for polarizations along and orthogonal to $B$ (Cotton-Mouton effect in QED vacuum). Its analogies and differences with Faraday effect are discussed and both phenomena are calculated for a relativistic electron gas at low densities, by starting from the low energy limit of the photon self-energy eigenvalues in presence of $B$. In the Cotton-Mouton case the polarization vector describes an ellipse whose axes vary periodically from zero to a maximum value. By assuming an effective electron density of order $10^3$ cm$^{-3}$ the quantum relativistic eigenvalues lead to a rotation of the polarization plane compatible with some of the limit values reported by PVLAS experiments. Other consequences, which are interesting for astrophysics, are also discussed.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:01:51 GMT" }, { "version": "v2", "created": "Fri, 21 Sep 2007 21:11:18 GMT" }, { "version": "v3", "created": "Fri, 2 May 2008 17:37:40 GMT" }, { "version": "v4", "created": "Fri, 2 May 2008 20:54:41 GMT" } ]
2008-05-02T00:00:00
[ [ "Rojas", "H. Perez", "" ], [ "Querts", "E. Rodriguez", "" ] ]
0708.2216
Jan Perina Jr.
Jan Perina, Jaromir Krepelka, Jan Perina Jr, Maria Bondani, Alessia Allevi, Alessandra Andreoni
Experimental joint signal-idler quasi-distributions and photon-number statistics for mesoscopic twin beams
7 pages, 6 figures
Phys. Rev. A 76 (2007) 043806
10.1103/PhysRevA.76.043806
null
quant-ph
null
Joint signal-idler photoelectron distributions of twin beams containing several tens of photons per mode have been measured recently. Exploiting a microscopic quantum theory for joint quasi-distributions in parametric down-conversion developed earlier we characterize properties of twin beams in terms of quasi-distributions using experimental data. Negative values as well as oscillating behaviour in quantum region are characteristic for the subsequently determined joint signal-idler quasi-distributions of integrated intensities. Also the conditional and difference photon-number distributions are shown to be sub-Poissonian and sub-shot-noise, respectively.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:05:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Perina", "Jan", "" ], [ "Krepelka", "Jaromir", "" ], [ "Perina", "Jan", "Jr" ], [ "Bondani", "Maria", "" ], [ "Allevi", "Alessia", "" ], [ "Andreoni", "Alessandra", "" ] ]
0708.2217
S. Dhara SKD
S. Dhara, B. Sundaravel, K. G. M. Nair, R. Kesavamoorthy, M. C. Valsakumar, T. V. Chandrasekhar Rao, L. C. Chen and K. H. Chen
Ferromagnetism in cobalt doped n-GaN
11 pages, 3 figures, Journal
Applied Physics Letters 88 (17) 173110 (2006)
10.1063/1.2194347
null
cond-mat.mtrl-sci
null
Ferromagnetic ordering is reported in the post-annealed samples of Co doped n-GaN formed by Co+ implantation. A maximum Curie temperature ~ 250K is recorded for the sample with 8 atomic percent Co. Particle induced x-ray emission-channeling study confirmed the substitutional Co in Ga lattice site. Local atomic arrangement around magnetic impurities is also analyzed using Raman study. A disordered model with carrier mediated coupling of localized magnetic moments is made responsible for the observed ferromagnetic ordering.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:11:18 GMT" } ]
2007-08-17T00:00:00
[ [ "Dhara", "S.", "" ], [ "Sundaravel", "B.", "" ], [ "Nair", "K. G. M.", "" ], [ "Kesavamoorthy", "R.", "" ], [ "Valsakumar", "M. C.", "" ], [ "Rao", "T. V. Chandrasekhar", "" ], [ "Chen", "L. C.", "" ], [ "Chen", "K. H.", "" ] ]
0708.2218
Johan K{\aa}hrstr\"om
Johan K{\aa}hrstr\"om
Tensoring with infinite-dimensional modules in $\scr O_0$
null
null
null
null
math.RT
null
We show that the principal block $\scr O_0$ of the BGG category $\scr O$ for a semisimple Lie algebra $\germ g$ acts faithfully on itself via exact endofunctors which preserve tilting modules, via right exact endofunctors which preserve projective modules and via left exact endofunctors which preserve injective modules. The origin of all these functors is tensoring with arbitrary (not necessarily finite-dimensional) modules in the category $\scr O$. We study such functors, describe their adjoints and show that they give rise to a natural (co)monad structure on $\scr O_0$. Furthermore, all this generalises to parabolic subcategories of $\scr O_0$. As an example, we present some explicit computations for the algebra $\germ{sl}_3$.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:12:09 GMT" } ]
2007-08-17T00:00:00
[ [ "Kåhrström", "Johan", "" ] ]
0708.2219
C\'{e}cile Durot
C\'ecile Durot
On the $\mathbb{L}_p$-error of monotonicity constrained estimators
Published at http://dx.doi.org/10.1214/009053606000001497 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 1080-1104
10.1214/009053606000001497
IMS-AOS-AOS0198
math.ST stat.TH
null
We aim at estimating a function $\lambda:[0,1]\to \mathbb {R}$, subject to the constraint that it is decreasing (or increasing). We provide a unified approach for studying the $\mathbb {L}_p$-loss of an estimator defined as the slope of a concave (or convex) approximation of an estimator of a primitive of $\lambda$, based on $n$ observations. Our main task is to prove that the $\mathbb {L}_p$-loss is asymptotically Gaussian with explicit (though unknown) asymptotic mean and variance. We also prove that the local $\mathbb {L}_p$-risk at a fixed point and the global $\mathbb {L}_p$-risk are of order $n^{-p/3}$. Applying the results to the density and regression models, we recover and generalize known results about Grenander and Brunk estimators. Also, we obtain new results for the Huang--Wellner estimator of a monotone failure rate in the random censorship model, and for an estimator of the monotone intensity function of an inhomogeneous Poisson process.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:15:40 GMT" } ]
2009-09-29T00:00:00
[ [ "Durot", "Cécile", "" ] ]
0708.2220
Guillermo Torres
Guillermo Torres (Harvard-Smithsonian Center for Astrophysics)
HIPPARCOS Astrometric Orbit and Evolutionary Status of HR 6046
To appear in The Astronomical Journal. 8 pages including tables and figures, in emulateapj format
Astron.J.134:1916-1922,2007
10.1086/522624
null
astro-ph
null
The previously known, 6-yr spectroscopic binary HR 6046 has been speculated in the past to contain a compact object as the secondary. A recent study has re-determined the orbit with great accuracy, and shown that the companion is an evolved but otherwise normal star of nearly identical mass as the primary, which is also a giant. The binary motion was detected by the Hipparcos mission but was not properly accounted for in the published astrometric solution. Here we use the Hipparcos intermediate data in combination with the spectroscopic results to revise that solution and establish the orbital inclination angle for the first time, and with it the absolute masses M(A) = 1.38 [-0.03,+0.09] M(Sun) and M(B) = 1.36 [-0.02,+0.07] M(Sun). Aided by other constraints, we investigate the evolutionary status and confirm that the primary star is approaching the tip of the red-giant branch, while the secondary is beginning its first ascent.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:31:05 GMT" } ]
2009-06-23T00:00:00
[ [ "Torres", "Guillermo", "", "Harvard-Smithsonian Center for Astrophysics" ] ]
0708.2221
S. Dhara SKD
S. Dhara, P. Magudapathy, R. Kesavamoorthy, S. Kalavathi, V. S. Sastry, K. G. M. Nair, G. M. Hsu, L. C. Chen, K. H. Chen, K. Santhakumar and T. Soga
Nitrogen ion beam synthesis of InN in InP (100) at elevated temperature
11 pages, 4 figures, Journal
Applied Physics Letters 88 (24) 241904 (2006)
10.1063/1.2186101
null
cond-mat.mtrl-sci
null
InN phase is grown in crystalline InP(100) substrates by 50 keV N+ implantation at an elevated temperature of 400 deg C followed by annealing at 525 deg C in N2 ambient. Crystallographic structural and Raman scattering studies are performed for the characterization of grown phases. Temperature- and power-dependent photoluminescence studies show direct band-to-band transition peak ~1.06 eV at temperatures <=150K. Implantations at an elevated temperature with a low ion beam current and subsequent low temperature annealing step are found responsible for the growth of high-quality InN phase.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:26:11 GMT" } ]
2007-08-17T00:00:00
[ [ "Dhara", "S.", "" ], [ "Magudapathy", "P.", "" ], [ "Kesavamoorthy", "R.", "" ], [ "Kalavathi", "S.", "" ], [ "Sastry", "V. S.", "" ], [ "Nair", "K. G. M.", "" ], [ "Hsu", "G. M.", "" ], [ "Chen", "L. C.", "" ], [ "Chen", "K. H.", "" ], [ "Santhakumar", "K.", "" ], [ "Soga", "T.", "" ] ]
0708.2222
Gabriel Fabricius
M. A. Bab, G. Fabricius and Ezequiel V. Albano. (INIFTA, UNLP. La Plata. Argentina)
On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
6 pages, 3 figures. Submitted to EPL
null
10.1209/0295-5075/81/10003
null
cond-mat.stat-mech
null
The dynamic and kinetic behavior of processes occurring in fractals with spatial discrete scale invariance (DSI) is considered. Spatial DSI implies the existence of a fundamental scaling ratio (b_1). We address time-dependent physical processes, which as a consequence of the time evolution develop a characteristic length of the form $\xi \propto t^{1/z}$, where z is the dynamic exponent. So, we conjecture that the interplay between the physical process and the symmetry properties of the fractal leads to the occurrence of time DSI evidenced by soft log-periodic modulations of physical observables, with a fundamental time scaling ratio given by $\tau = b_1 ^z$. The conjecture is tested numerically for random walks, and representative systems of broad universality classes in the fields of irreversible and equilibrium critical phenomena.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:26:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Bab", "M. A.", "", "INIFTA, UNLP. La\n Plata. Argentina" ], [ "Fabricius", "G.", "", "INIFTA, UNLP. La\n Plata. Argentina" ], [ "Albano.", "Ezequiel V.", "", "INIFTA, UNLP. La\n Plata. Argentina" ] ]
0708.2223
Markus Wagner
Markus Wagner, Stefan Leupold
Tau decay and the structure of the a1
Replaced figures, due to an error in the calculation, which we corrected. (Conclusions did not change.) Dropped last part discussing higher order effect in favour of further elucidation
Phys.Lett.B670:22-26,2008
10.1016/j.physletb.2008.10.025
null
hep-ph nucl-th
null
We analyse the decay $\tau\to\pi\pi\pi\nu$ based on the recently developed techniques to generate axial-vector resonances dynamically. Under the assumption that the a1 is a coupled-channel meson-molecule, the spectral function is described surprisingly well by adjusting only one free parameter. Including, in addition, an elementary a1 corrupts the results.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:26:21 GMT" }, { "version": "v2", "created": "Tue, 20 Nov 2007 14:23:45 GMT" } ]
2008-12-18T00:00:00
[ [ "Wagner", "Markus", "" ], [ "Leupold", "Stefan", "" ] ]
0708.2224
Jan Perina Jr.
Jan Perina Jr, Ondrej Haderka, Concita Sibilia, Mario Bertolotti, Michael Scalora
Squeezed-light generation in a nonlinear planar waveguide with a periodic corrugation
14 pages, 14 figures
Phys. Rev. A 76 (2007) 033813
10.1103/PhysRevA.76.033813
null
quant-ph
null
Two-mode nonlinear interaction (second-harmonic and second-subharmonic generation) in a planar waveguide with a small periodic corrugation at the surface is studied. Scattering of the interacting fields on the corrugation leads to constructive interference that enhances the nonlinear process provided that all the interactions are phase matched. Conditions for the overall phase matching are found. Compared with a perfectly quasi-phase-matched waveguide, better values of squeezing as well as higher intensities are reached under these conditions. Procedure for finding optimum values of parameters for squeezed-light generation is described.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:29:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Perina", "Jan", "Jr" ], [ "Haderka", "Ondrej", "" ], [ "Sibilia", "Concita", "" ], [ "Bertolotti", "Mario", "" ], [ "Scalora", "Michael", "" ] ]
0708.2225
Santiago Zarzuela
Ana L. Branco Correia and Santiago Zarzuela
On equimultiple modules
26 pages
null
null
null
math.AC math.AG
null
We study the class of equimultiple modules. In particular, we prove several criteria for an equimultiple module to be a complete intersection and prove the openness of the equimultiple locus of an ideal module.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:31:56 GMT" } ]
2007-08-17T00:00:00
[ [ "Correia", "Ana L. Branco", "" ], [ "Zarzuela", "Santiago", "" ] ]
0708.2226
Oleksandr Prokhnenko
O. Prokhnenko, R. Feyerherm, M. Mostovoy, N. Aliouane, E. Dudzik, A. U. B. Wolter, A. Maljuk and D. N. Argyriou
Coupling of frustrated Ising spins to magnetic cycloid in multiferroic TbMnO3
5 pages, 3 figures
Phys. Rev. Lett. 99, 177206 (2007)
10.1103/PhysRevLett.99.177206
null
cond-mat.str-el cond-mat.mtrl-sci
null
We report on diffraction measurements on multiferroic TbMnO3 which demonstrate that the Tb- and Mn-magnetic orders are coupled below the ferroelectric transition TFE = 28 K. For T < TFE the magnetic propagation vectors (tau) for Tb and Mn are locked so that tauTb = tauMn, while below TNTb = 7 K we find that tauTb and tauMn lock-in to rational values of 3/7 b* and 2/7 b*, respectively, and obey the relation 3tauTb - tauMn = 1. We explain this novel matching of wave vectors within the frustrated ANNNI model coupled to a periodic external field produced by the Mn-spin order. The tauTb = tauMn behavior is recovered when Tb magnetization is small, while the tauTb = 3/7 regime is stabilized at low temperatures by a peculiar arrangement of domain walls in the ordered state of Ising-like Tb spins.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:14:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Prokhnenko", "O.", "" ], [ "Feyerherm", "R.", "" ], [ "Mostovoy", "M.", "" ], [ "Aliouane", "N.", "" ], [ "Dudzik", "E.", "" ], [ "Wolter", "A. U. B.", "" ], [ "Maljuk", "A.", "" ], [ "Argyriou", "D. N.", "" ] ]
0708.2227
David M. Mason
Evarist Gin\'e, David M. Mason
On local $U$-statistic processes and the estimation of densities of functions of several sample variables
Published at http://dx.doi.org/10.1214/009053607000000154 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 1105-1145
10.1214/009053607000000154
IMS-AOS-AOS0235
math.ST stat.TH
null
A notion of local $U$-statistic process is introduced and central limit theorems in various norms are obtained for it. This involves the development of several inequalities for $U$-processes that may be useful in other contexts. This local $U$-statistic process is based on an estimator of the density of a function of several sample variables proposed by Frees [J. Amer. Statist. Assoc. 89 (1994) 517--525] and, as a consequence, uniform in bandwidth central limit theorems in the sup and in the $L_p$ norms are obtained for these estimators.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:39:10 GMT" } ]
2009-09-29T00:00:00
[ [ "Giné", "Evarist", "" ], [ "Mason", "David M.", "" ] ]
0708.2228
Marco Mackaay
Marco Mackaay, Marko Stosic and Pedro Vaz
Sl(N) link homology using foams and the Kapustin-Li formula
The Kapustin-Li formula has been corrected for facets with non-zero genus and its normalization and some signs have been changed accordingly. 43 pages, lots of figures
Geom. Topol. 13 (2009) 1075-1128
10.2140/gt.2009.13.1075
null
math.GT math.QA
null
We use foams to give a topological construction of a rational link homology categorifying the slN link invariant, for N>3. To evaluate closed foams we use the Kapustin-Li formula adapted to foams by Khovanov and Rozansky. We show that for any link our homology is isomorphic to Khovanov and Rozansky's.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:41:44 GMT" }, { "version": "v2", "created": "Wed, 3 Oct 2007 12:41:17 GMT" }, { "version": "v3", "created": "Wed, 14 Nov 2007 16:24:04 GMT" } ]
2014-11-11T00:00:00
[ [ "Mackaay", "Marco", "" ], [ "Stosic", "Marko", "" ], [ "Vaz", "Pedro", "" ] ]
0708.2229
S. Dhara SKD
S. Dhara, Sharat Chandra, G. Mangamma, S. Kalavathi, P. Shankar, K. G. M. Nair, A. K. Tyagi, C. W. Hsu, C. C. Kuo, L. C. Chen, K. H. Chen, K. K. Sriram
Multi-phonon Raman scattering in GaN nanowires
13 pages, 5 figures, Journal
Applied Physics Letters 90 (21) 213104 (2007)
10.1063/1.2741410
null
cond-mat.mtrl-sci
null
UV Raman scattering studies show longitudinal optical (LO) mode up to 4th order in wurtzite GaN nanowire system. Frohlich interaction of electron with the long range electrostatic field of ionic bonded GaN gives rise to enhancement in LO phonon modes. Good crystalline quality, as indicated by the crystallographic as well as luminescence studies, is thought to be responsible for this significant observation. Calculated size dependence, incorporating size corrected dielectric constants, of electron-phonon interaction energy agrees well with measured values and also predict stronger interaction energy than that of the bulk for diameter below ~3 nm.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:43:07 GMT" } ]
2007-08-17T00:00:00
[ [ "Dhara", "S.", "" ], [ "Chandra", "Sharat", "" ], [ "Mangamma", "G.", "" ], [ "Kalavathi", "S.", "" ], [ "Shankar", "P.", "" ], [ "Nair", "K. G. M.", "" ], [ "Tyagi", "A. K.", "" ], [ "Hsu", "C. W.", "" ], [ "Kuo", "C. C.", "" ], [ "Chen", "L. C.", "" ], [ "Chen", "K. H.", "" ], [ "Sriram", "K. K.", "" ] ]
0708.2230
Dale Miller
Dale Miller (INRIA Futurs)
Collection analysis for Horn clause programs
null
Dans International ACM SIGPLAN Conference on Principles and Practice of Declarative Programming (2006)
null
null
cs.LO
null
We consider approximating data structures with collections of the items that they contain. For examples, lists, binary trees, tuples, etc, can be approximated by sets or multisets of the items within them. Such approximations can be used to provide partial correctness properties of logic programs. For example, one might wish to specify than whenever the atom $sort(t,s)$ is proved then the two lists $t$ and $s$ contain the same multiset of items (that is, $s$ is a permutation of $t$). If sorting removes duplicates, then one would like to infer that the sets of items underlying $t$ and $s$ are the same. Such results could be useful to have if they can be determined statically and automatically. We present a scheme by which such collection analysis can be structured and automated. Central to this scheme is the use of linear logic as a omputational logic underlying the logic of Horn clauses.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:45:06 GMT" } ]
2007-08-17T00:00:00
[ [ "Miller", "Dale", "", "INRIA Futurs" ] ]
0708.2231
Hans J. Haubold
A. M. Mathai, H. J. Haubold
Pathway parameter and thermonuclear functions
8 pages, Plain Tex
Physica A 387(2008)2462-2470
10.1016/j.physa.2008.01.031
null
cond-mat.stat-mech math.CA
null
In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail of the Maxwell-Boltzmann distribution function were considered in a series of papers by Mathai and Haubold (1988). In the present paper we study more general classes of thermonuclear functions by introducing a pathway parameter alpha, so that when alpha --> 1 the thermonuclear functions in the Maxwell-Boltzmannian case are recovered. We will also give interpretations for the pathway parameter alpha in the case of cut-off and in terms of moments.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:08:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Mathai", "A. M.", "" ], [ "Haubold", "H. J.", "" ] ]
0708.2232
Anders W. Sandvik
A. W. Sandvik and G. Vidal
Variational quantum Monte Carlo simulations with tensor-network states
4+ pages, 2 figures. v2: improved data, comparisons with exact results, to appear in Phys Rev Lett
null
10.1103/PhysRevLett.99.220602
null
cond-mat.str-el cond-mat.stat-mech
null
We show that the formalism of tensor-network states, such as the matrix product states (MPS), can be used as a basis for variational quantum Monte Carlo simulations. Using a stochastic optimization method, we demonstrate the potential of this approach by explicit MPS calculations for the transverse Ising chain with up to N=256 spins at criticality, using periodic boundary conditions and D*D matrices with D up to 48. The computational cost of our scheme formally scales as ND^3, whereas standard MPS approaches and the related density matrix renromalization group method scale as ND^5 and ND^6, respectively, for periodic systems.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:53:39 GMT" }, { "version": "v2", "created": "Fri, 19 Oct 2007 09:41:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Sandvik", "A. W.", "" ], [ "Vidal", "G.", "" ] ]
0708.2233
Harrison H. Zhou
Mark G. Low, Harrison H. Zhou
A complement to Le Cam's theorem
Published at http://dx.doi.org/10.1214/009053607000000091 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Statistics 2007, Vol. 35, No. 3, 1146-1165
10.1214/009053607000000091
IMS-AOS-AOS0249
math.ST stat.TH
null
This paper examines asymptotic equivalence in the sense of Le Cam between density estimation experiments and the accompanying Poisson experiments. The significance of asymptotic equivalence is that all asymptotically optimal statistical procedures can be carried over from one experiment to the other. The equivalence given here is established under a weak assumption on the parameter space $\mathcal{F}$. In particular, a sharp Besov smoothness condition is given on $\mathcal{F}$ which is sufficient for Poissonization, namely, if $\mathcal{F}$ is in a Besov ball $B_{p,q}^{\alpha}(M)$ with $\alpha p>1/2$. Examples show Poissonization is not possible whenever $\alpha p<1/2$. In addition, asymptotic equivalence of the density estimation model and the accompanying Poisson experiment is established for all compact subsets of $C([0,1]^m)$, a condition which includes all H\"{o}lder balls with smoothness $\alpha>0$.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 15:59:01 GMT" } ]
2007-08-22T00:00:00
[ [ "Low", "Mark G.", "" ], [ "Zhou", "Harrison H.", "" ] ]
0708.2234
Kerson Huang
Kersion Huang
Bose-Einstein condensation of a Knudsen gas
5 pages
null
null
null
cond-mat.stat-mech
null
We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former corresponds to a Knudsen (or collisionless) regime, in which the mean-free-path is much larger than the system dimension, while the latter corresponds to the opposite hydrodynamic regime. The deviation of the transition temperature from that of the non-interacting gas is proportional to the square root of a in the Knudsen regime, and to a in the hydrodynamic regime, where a is the scattering length. This crossover may be observable in a Bose gas trapped in a potential or on an optical lattice.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:00:32 GMT" } ]
2007-08-17T00:00:00
[ [ "Huang", "Kersion", "" ] ]
0708.2235
Gustavo Granja
Gustavo Granja, Sharon Hollander
Realizing modules over the homology of a DGA
24 pages
null
null
null
math.AT math.RA
null
Let A be a DGA over a field and X a module over H_*(A). Fix an $A_\infty$-structure on H_*(A) making it quasi-isomorphic to A. We construct an equivalence of categories between A_{n+1}-module structures on X and length n Postnikov systems in the derived category of A-modules based on the bar resolution of X. This implies that quasi-isomorphism classes of A_n-structures on X are in bijective correspondence with weak equivalence classes of rigidifications of the first n terms of the bar resolution of X to a complex of A-modules. The above equivalences of categories are compatible for different values of n. This implies that two obstruction theories for realizing X as the homology of an A-module coincide.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:02:12 GMT" } ]
2007-08-17T00:00:00
[ [ "Granja", "Gustavo", "" ], [ "Hollander", "Sharon", "" ] ]
0708.2236
Thabit Barakat
T. Barakat
Large-order shifted 1/N expansions through the asymptotic iteration method
null
null
null
null
quant-ph
null
The perturbation technique within the framework of the asymptotic iteration method is used to obtain large-order shifted 1/N expansions, where N is the number of spatial dimensions. This method is contrary to the usual Rayleigh-Schr\"{o}dinger perturbation theory, no matrix elements need to be calculated. The method is applied to the Schr\"{o}dinger equation and the non-polynomial potential $V(r)=r^2+\frac{b r^2}{(1+cr^2)}$ in three dimensions is discussed as an illustrative example.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:05:37 GMT" } ]
2007-08-17T00:00:00
[ [ "Barakat", "T.", "" ] ]
0708.2237
Yuval Weiss
Yuval Weiss and Richard Berkovits
A generation-based particle-hole density-matrix renormalization group study of interacting quantum dots
6 pages, 6 figures and a table
Solid State Commun. 145, 585 (2008)
10.1016/j.ssc.2007.12.031
null
cond-mat.dis-nn cond-mat.str-el
null
The particle-hole version of the density-matrix renormalization-group method (PH-DMRG) is utilized to calculate the ground-state energy of an interacting two-dimensional quantum dot. We show that a modification of the method, termed generation-based PH-DMRG, leads to significant improvement of the results, and discuss its feasibility for the treatment of large systems. As another application we calculate the addition spectrum.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:09:29 GMT" } ]
2008-03-26T00:00:00
[ [ "Weiss", "Yuval", "" ], [ "Berkovits", "Richard", "" ] ]
0708.2238
Tsutomu Takayama
Masato Senami, Tsutomu Takayama
Affleck-Dine leptogenesis via multiscalar evolution in a supersymmetric seesaw model
19 pages, 3 figures. Revised version for publication. The model was modified to fix some problems
JCAP0711:015,2007
10.1088/1475-7516/2007/11/015
null
hep-ph
null
A leptogenesis scenario in a supersymmetric standard model extended with introducing right-handed neutrinos is reconsidered. Lepton asymmetry is produced in the condensate of a right-handed sneutrino via the Affleck-Dine mechanism. The LH_u direction develops large value due to a negative effective mass induced by the right-handed sneutrino condensate through the Yukawa coupling of the right-handed neutrino, even if the minimum during the inflation is fixed at the origin. The lepton asymmetry is nonperturbatively transfered to the LH_u direction by this Yukawa coupling.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:12:50 GMT" }, { "version": "v2", "created": "Tue, 20 Nov 2007 09:37:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Senami", "Masato", "" ], [ "Takayama", "Tsutomu", "" ] ]
0708.2239
Hans J. Haubold
H. J. Haubold, D. Kumar
Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions
16 pages, LaTeX
Astropart.Phys.29:70-76,2008
10.1016/j.astropartphys.2007.11.006
null
astro-ph nucl-th
null
The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analytical study of respective thermonuclear functions is being conducted with the help of statistical techniques. The pathway model, recently introduced by Mathai (2005), is utilized for thermonuclear functions and closed-form representations are obtained in terms of H-functions and G-functions. Maxwell-Boltzmannian thermonuclear functions become particular cases of the extended thermonuclear functions. A brief review on the development of the theory of analytic representations of nuclear reaction rates is given.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:20:51 GMT" } ]
2009-06-23T00:00:00
[ [ "Haubold", "H. J.", "" ], [ "Kumar", "D.", "" ] ]
0708.2240
Roberto Passante
R. Passante, S. Spagnolo
Casimir-Polder interatomic potential between two atoms at finite temperature and in the presence of boundary conditions
11 pages
null
10.1103/PhysRevA.76.042112
null
quant-ph
null
We evaluate the Casimir-Polder potential between two atoms in the presence of an infinite perfectly conducting plate and at nonzero temperature. In order to calculate the potential, we use a method based on equal-time spatial correlations of the electric field, already used to evaluate the effect of boundary conditions on interatomic potentials. This method gives also a transparent physical picture of the role of a finite temperature and boundary conditions on the Casimir-Polder potential. We obtain an analytical expression of the potential both in the near and far zones, and consider several limiting cases of interest, according to the values of the parameters involved, such as atom-atom distance, atoms-wall distance and temperature.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:21:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Passante", "R.", "" ], [ "Spagnolo", "S.", "" ] ]
0708.2241
Jan Perina Jr.
Ondrej Haderka, Jan Perina Jr, Martin Hamar
Simple direct measurement of nonclassical joint signal-idler photon-number statistics and correlation area of twin photon beams
8 pages, 5 PostScript figures
J. Opt. B: Quantum Semiclass. Opt. 7, S572 (2005)
10.1088/1464-4266/7/12/020
null
quant-ph
null
The measurement of joint signal-idler photon-number distribution of a field obtained from spontaneous parametric downconversion using an intensified CCD camera is presented. It is shown that a classicality criterion is violated directly by the measured data. Characteristic dimensions of the area of correlation are determined in the same experimental setup.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:26:17 GMT" } ]
2015-05-13T00:00:00
[ [ "Haderka", "Ondrej", "" ], [ "Perina", "Jan", "Jr" ], [ "Hamar", "Martin", "" ] ]
0708.2242
Jan Perina Jr.
Jan Perina Jr, Marco Centini, Concita Sibilia, Mario Bertolotti, Michael Scalora
Antisymmetric entangled two-photon states generated in nonlinear GaN/AlN photonic-band-gap structures
5 pages, 7 PostScript figures
Physical Review A 75, 013805 (2007)
10.1103/PhysRevA.75.013805
null
quant-ph
null
The properties of an entangled two-photon state antisymmetric in frequencies are studied. At a beam-splitter, two entangled photons are perfectly anti-correlated. In addition, they cannot be detected at the same time instant despite the fact that their detection times are confined to a narrow time window, i.e. they are temporally anti-bunched. Using nonlinear photonic-band-gap structures made of GaN/AlN, two schemes for generating such states are described.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 16:48:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Perina", "Jan", "Jr" ], [ "Centini", "Marco", "" ], [ "Sibilia", "Concita", "" ], [ "Bertolotti", "Mario", "" ], [ "Scalora", "Michael", "" ] ]
0708.2243
Peter A. Linnell
Peter A. Linnell
Embedding group algebras into finite von Neumann regular rings
5 pages, to appear in the conference proceedings of the "International Conference on Modules and Comodules", dedicated to Robert Wisbauer, to be published by Birkhauser
null
null
null
math.RA math.GR
null
Let G be a group and let K be a field of characteristic zero. We shall prove that KG can be embedded into a von Neumann unit-regular ring. In the course of the proof, we shall obtain a result relevant to the Atiyah conjecture.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 17:17:38 GMT" } ]
2007-08-17T00:00:00
[ [ "Linnell", "Peter A.", "" ] ]
0708.2244
Volkan Sevim
Volkan Sevim, Per Arne Rikvold
Unbiased Random Threshold Networks Are Chaotic or Critical
null
null
null
null
cond-mat.dis-nn cond-mat.stat-mech nlin.CG q-bio.MN
null
This paper has been withdrawn.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 17:15:52 GMT" }, { "version": "v2", "created": "Wed, 7 May 2008 22:13:45 GMT" } ]
2008-05-08T00:00:00
[ [ "Sevim", "Volkan", "" ], [ "Rikvold", "Per Arne", "" ] ]
0708.2245
Saifullah
Saifullah
Mathematical Modeling of Control Dynamical Systems
This paper has been withdrawn
null
null
null
math-ph math.MP
null
This paper has been withdrawn by the author due to a crucial mistakes.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 17:07:06 GMT" }, { "version": "v2", "created": "Mon, 20 Aug 2007 14:40:40 GMT" } ]
2007-08-20T00:00:00
[ [ "Saifullah", "", "" ] ]
0708.2246
Mikhail Zubkov
M. A. Zubkov
Monopoles, topology of the Standard Model, and unification of interactions at Tev scale
a version to appear in the proceedings of LATTICE 2007
PoS LAT2007:285,2007
null
ITEP-LAT/2007-14
hep-lat hep-ph
null
It is shown that unification of strong and Electroweak interactions at Tev scale may lead to appearance of topologically stable monopoles with masses of the order of 40 Tev. Those monopoles may play an important role in the early Universe, at finite temperature. They may even be condensed at high enough temperature. The lattice model for investigation of this phenomenon is presented.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 17:13:39 GMT" }, { "version": "v2", "created": "Wed, 5 Sep 2007 17:45:36 GMT" }, { "version": "v3", "created": "Tue, 18 Sep 2007 12:56:43 GMT" }, { "version": "v4", "created": "Wed, 26 Sep 2007 14:03:00 GMT" } ]
2010-11-26T00:00:00
[ [ "Zubkov", "M. A.", "" ] ]
0708.2247
Aaron Bertram
Daniele Arcara and Aaron Bertram, Max Lieblich
Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
33 pages, with appendix by Max Lieblich
null
null
null
math.AG
null
We give a natural family of Bridgeland stability conditions on the derived category of a smooth projective complex surface S and describe ``wall-crossing behavior'' for objects with the same invariants as $\cO_C(H)$ when H generates Pic(S) and $C \in |H|$. If, in addition, S is a K3 or Abelian surface, we use this description to construct a sequence of fine moduli spaces of Bridgeland-stable objects via Mukai flops and generalized elementary modifications of the universal coherent sheaf. We also discover a natural generalization of Thaddeus' stable pairs for curves embedded in the moduli spaces.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 17:20:23 GMT" } ]
2007-08-17T00:00:00
[ [ "Arcara", "Daniele", "" ], [ "Bertram", "Aaron", "" ], [ "Lieblich", "Max", "" ] ]
0708.2248
Fergus Wilson
The BABAR Collaboration: B. Aubert, et al
Observation of B0 -> K*0 K*0bar and search for B0 -> K*0 K*0
7 pages, 5 postscript figures, submitted to Phys. Rev. Lett. The branching fraction now explicitly includes the K*0->K+pi- subdecay fraction
Phys.Rev.Lett.100:081801,2008
10.1103/PhysRevLett.100.081801
BABAR-PUB-07/050, SLAC-PUB-12724
hep-ex
null
We report the observation of the b -> d penguin-dominated decay B0 -> K*0 K*0bar with a sample of 383.2 +/- 4.2 million BBbar pairs collected with the BaBar detector at the PEP-II asymmetric-energy e^+e^- collider at the Stanford Linear Accelerator Center. The measured branching fraction is Br(B0 -> K*0 K*0bar) = [1.28^{+0.35}_{-0.30} +/- 0.11] x 10^{-6} and the fraction of longitudinal polarization f_L (B0 -> K*0 K*0bar) = 0.80^{+0.10}_{-0.12} +/- 0.06. The first error quoted is statistical and the second systematic. We also obtain an upper limit at the 90% confidence level on the branching fraction for Br(B0 ->K*0 K*0) < 0.41 x 10^{-6}.
[ { "version": "v1", "created": "Thu, 16 Aug 2007 17:25:21 GMT" }, { "version": "v2", "created": "Sat, 18 Aug 2007 17:54:20 GMT" }, { "version": "v3", "created": "Fri, 11 Jan 2008 09:45:07 GMT" } ]
2010-04-12T00:00:00
[ [ "The BABAR Collaboration", "", "" ], [ "Aubert", "B.", "" ] ]