12 citations · 30 across the 12 of their papers we have counts for
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math.PR2006
Probabilistic approach for granular media equations in the non uniformly convex case
Patrick Cattiaux, Guillin Arnaud, Malrieu Florent
We use here a particle system to prove a convergence result as well as a deviation inequality for solutions of granular media equation when the confinement potential and the intera…
math.PR2006★ 12 cited
Deviation bounds for additive functionals of Markov process
Patrick Cattiaux, Arnaud Guillin
In this paper we derive non asymptotic deviation bounds for where is a stationary and ergodic Markov process and $…
math.PR2006
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…