Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

A Guillin, B Nectoux, L Wu - Probability Theory and Related Fields, 2023 - Springer
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials | Probability
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Gibbs principle with infinitely many constraints: optimality conditions and stability

LP Chaintron, G Conforti, J Reygner - arxiv preprint arxiv:2410.20858, 2024 - arxiv.org
We extend the Gibbs conditioning principle to an abstract setting combining infinitely many
linear equality constraints and non-linear inequality constraints, which need not be convex …

On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures

D Chafaï, J Lehec - Geometric Aspects of Functional Analysis: Israel …, 2020 - Springer
This note, mostly expository, is devoted to Poincaré and log-Sobolev inequalities for a class
of Boltzmann–Gibbs measures with singular interaction. Such measures allow to model one …

The forbidden region for random zeros: appearance of quadrature domains

A Nishry, A Wennman - Communications on Pure and Applied …, 2024 - Wiley Online Library
Our main discovery is a surprising interplay between quadrature domains on the one hand,
and the zeros of the Gaussian Entire Function (GEF) on the other. Specifically, consider the …

Aspects of Coulomb gases

D Chafaï - arxiv preprint arxiv:2108.10653, 2021 - arxiv.org
Coulomb gases are special probability distributions, related to potential theory, that appear
at many places in pure and applied mathematics and physics. In these short expository …

Large deviations theory in statistical physics: Some theoretical and numerical aspects

G Ferré - 2019 - hal.science
This thesis is concerned with various aspects of large deviations theory in relation with
statistical physics. Both theoretical and numerical considerations are dealt with. The first part …

On a problem of E. Meckes for the unitary eigenvalue process on an arc

L Kryvonos, EB Saff - Analysis and Mathematical Physics, 2024 - Springer
We study the problem originally communicated by E. Meckes on the asymptotics for the
eigenvalues of the kernel of the unitary eigenvalue process of a random n× n matrix. The …

Théorie des grandes déviations en physique statistique: quelques aspects théoriques et numériques

G Ferré - 2019 - pastel.hal.science
Cette thèse s' intéresse à différents problèmes de grandes déviations en rapport avec la
physique statistique, qu'elle aborde sous l'angle théorique aussi bien que numérique. La …

[PDF][PDF] Rapport d'activité 2015 du CERMICS

M Curie - 2016 - cermics.enpc.fr
Le CERMICS (Centre d'Enseignement et de Recherche en MathématIques et Calcul
Scientifique) compte, au 31 décembre 2017, 18 chercheurs permanents (17 ENPC et 1 CR …