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
11 papers · 1 filter
Convex lattice polygonal lines with a constrained number of vertices
Julien Bureaux, Nathanaël Enriquez
A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a l…
The shape of large balls in highly supercritical percolation
Anne-Laure Basdevant, Nathanaël Enriquez, Lucas Gerin +1
We exploit a connection between distances in the infinite percolation cluster, when the parameter is close to one, and the discrete-time TASEP on . This shows that when…
Distances in the highly supercritical percolation cluster
Anne-Laure Basdevant, Nathanaël Enriquez, Lucas Gerin
On the supercritical percolation cluster with parameter p, the distances between two distant points of the axis are asymptotically increased by a factor 1+(1-p)/2+o(1-p) with respe…
Asymptotics of the odometer function for the internal Diffusion Limited Aggregation model
Cyrille Lucas
We present precise asymptotics of the odometer function for the internal Diffusion Limited Aggregation model. These results provide a better understanding of this function whose im…
Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality
Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang +1
We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or -Sobolev). The case of P…
Transportation-information inequalities for Markov processes
Arnaud Guillin, Christian Leonard, Liming Wu +1
In this paper, one investigates the following type of transportation-information inequalities: for all probability measures on some metric space…
Isoperimetry between exponential and Gaussian
Franck Barthe, Patrick Cattiaux, Cyril Roberto
We study in details the isoperimetric profile of product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples whe…
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…