108 citations · 201 across the 23 of their papers we have counts for
30 papers
Large time behaviour for the semigroup of the kinetic Brownian motion in the plane
Magalie Bénéfice, Michel Bonnefont, Marc Arnaudon +1
We establish an integration by parts formula for the semigroup in time of the kinetic Brownian motion in the Euclidean plane together with its velocity in the circle. The sto…
A coupling strategy for Brownian motions at fixed time on Carnot groups using Legendre expansion
Marc Arnaudon, Magalie Bénéfice, Michel Bonnefont +1
We propose a new simple construction of a coupling at a fixed time of two sub-Riemannian Brownian motions on the Heisenberg group and on the free step 2 Carnot groups. The construc…
Covariance inequalities for convex and log-concave functions
Michel Bonnefont, Erwan Hillion, Adrien Saumard
Extending results of Harg{é} and Hu for the Gaussian measure, we prove inequalities for the covariance Cov where is a general product probability measure on $\mathbb{…
A note on the spectral gap for log-concave probability measures on convex bodies
Michel Bonnefont, Aldéric Joulin
In this paper, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of th…
Sharp large deviations and concentration inequalities for the number of descents in a random permutation
Bernard Bercu, Michel Bonnefont, Adrien Richou
The goal of this paper is to go further in the analysis of the behavior of the number of descents in a random permutation. Via two different approaches relying on a suitable martin…
Lower bounds for the spectral gap and an extension of the Bonnet-Myers theorem
Michel Bonnefont, El Maati Ouhabaz
On a fairly general class of Riemannian manifolds M, we prove lower estimates in terms of the Ricci curvature for the spectral bound (when M has infinite volume) and for the spectr…