Nom de l’auteur/autrice :admin

Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications

Aurelien Decelle 1, Florent Krzakala 2, Cristopher Moore 3, 4, Lenka Zdeborová 5 Physical Review E 84 (2011) 066106 In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We use the cavity method of statistical […]

Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications Lire la suite »

Algebraic and arithmetic area for $m$ planar Brownian paths

Jean Desbois 1, Stephane Ouvry 1 Journal of statistical mechanics-theory and experiment (2011) P05024 The leading and next to leading terms of the average arithmetic area $< S(m)>$ enclosed by $m\to\infty$ independent closed Brownian planar paths, with a given length $t$ and starting from and ending at the same point, is calculated. The leading term is found to be

Algebraic and arithmetic area for $m$ planar Brownian paths Lire la suite »

Adversarial Satisfiability Problem

Michele Castellana 1, 2, Lenka Zdeborová 3 Journal of statistical mechanics-theory and experiment (2011) P03023 We study the adversarial satisfiability problem, where the adversary can choose whether variables are negated in clauses or not in order to make the resulting formula unsatisfiable. This is one case of a general class of adversarial optimization problems that often arise in practice and

Adversarial Satisfiability Problem Lire la suite »

A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix

Celine Nadal 1, Satya N. Majumdar 1 Journal of statistical mechanics-theory and experiment (2011) P04001 In this paper, we first briefly review some recent results on the distribution of the maximal eigenvalue of a $(N\times N)$ random matrix drawn from Gaussian ensembles. Next we focus on the Gaussian Unitary Ensemble (GUE) and by suitably adapting a method of orthogonal

A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix Lire la suite »

Spatial and topological organization of DNA chains induced by gene co-localization – Archive ouverte HAL

Ivan Junier 1, 2 Olivier Martin 3, 4 François Képès 5 Ivan Junier, Olivier Martin, François Képès. Spatial and topological organization of DNA chains induced by gene co-localization. PLoS Computational Biology, Public Library of Science, 2010, 6 (2), pp.1000678. ⟨10.1371/journal.pcbi.1000678⟩. ⟨hal-00484355⟩ Transcriptional activity has been shown to relate to the organization of chromosomes in the

Spatial and topological organization of DNA chains induced by gene co-localization – Archive ouverte HAL Lire la suite »

Archive ouverte HAL – Spatial and topological organization of DNA chains induced by gene co-localization

Ivan Junier 1, 2 Olivier Martin 3, 4 François Képès 5 Ivan Junier, Olivier Martin, François Képès. Spatial and topological organization of DNA chains induced by gene co-localization. PLoS Computational Biology, Public Library of Science, 2010, 6 (2), pp.1000678. ⟨10.1371/journal.pcbi.1000678⟩. ⟨hal-00484355⟩ Transcriptional activity has been shown to relate to the organization of chromosomes in the

Archive ouverte HAL – Spatial and topological organization of DNA chains induced by gene co-localization Lire la suite »

Vortex structures of rotating Bose-Einstein condensates in anisotropic harmonic potential

S. I. Matveenko 1, 2 Physical Review A: Atomic, Molecular and Optical Physics 82 (2010) 033628 We found an analytical solution for the vortex structure in a rapidly rotating trapped Bose-Einstein condensate in the lowest Landau level approximation. This solution is exact in the limit of a large number of vortices and is obtained for the case of

Vortex structures of rotating Bose-Einstein condensates in anisotropic harmonic potential Lire la suite »

Universal First-passage Properties of Discrete-time Random Walks and Levy Flights on a Line: Statistics of the Global Maximum and Records

Satya N. Majumdar 1 Physica A: Statistical Mechanics and its Applications 389, 20 (2010) 4299-4316 In these lecture notes I will discuss the universal first-passage properties of a simple correlated discrete-time sequence {x_0=0, x_1,x_2…. x_n} up to n steps where x_i represents the position at step i of a random walker hopping on a continuous line by

Universal First-passage Properties of Discrete-time Random Walks and Levy Flights on a Line: Statistics of the Global Maximum and Records Lire la suite »

Retour en haut