164 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University College LondonGB15 papers
- Institut national de recherche en sciences et technologies du numériqueFR13 papers
- Modélisation aléatoire de Paris NanterreFR13 papers
- University of LondonGB8 papers
- Centre Inria de l'Université de LilleFR7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR5 papers
- Université Paris NanterreFR5 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR3 papers
- Institut de Mathématiques de MarseilleFR3 papers
- Université de LilleFR3 papers
- University of OxfordGB3 papers
4 papers · 2 filters
Weak logarithmic Sobolev inequalities and entropic convergence
Patrick Cattiaux, Ivan Gentil, Arnaud Guillin
In this paper we introduce and study a weakened form of logarithmic Sobolev inequalities in connection with various others functional inequalities (weak Poincaré inequalities, gene…
A large deviation approach to some transportation cost inequalities
Nathael Gozlan, Christian Léonard
New transportation cost inequalities are derived by means of elementary large deviation reasonings. Their dual characterization is proved; this provides an extension of a well-know…
Hypercontractivity for perturbed diffusion semigroups
Patrick Cattiaux
being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F for the measure to also satisfy some log-Sobolev inequality. Explicit…
Deviations bounds and conditional principles for thin sets
Patrick Cattiaux, Nathael Gozlan
The aim of this paper is to use non asymptotic bounds for the probability of rare events in the Sanov theorem, in order to study the asymptotics in conditional limit theorems (Gibb…