37 citations · 97 across the 9 of their papers we have counts for
10 papers
Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence
Jean-Baptiste Bardet, Nathaël Gozlan, Florent Malrieu +1
The aim of this paper is to establish various functional inequalities for the convolution of a compactly supported measure and a standard Gaussian distribution on Rd. We especially…
Quantitative exponential bounds for the renewal theorem with spread-out distributions
J. -B Bardet, A Christen, J Fontbona
We establish explicit exponential convergence estimates for the renewal theorem, in terms of a uniform component of the inter arrival distribution, of its Laplace transform which i…
Piecewise deterministic Markov process - recent results
Romain Azaïs, Jean-Baptiste Bardet, Alexandre Genadot +2
We give a short overview of recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes (PDMPs). We first recall the definition of these proc…
Total variation estimates for the TCP process
Jean-Baptiste Bardet, Alejandra Christen, Arnaud Guillin +2
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process ta…
Extensive escape rate in lattices of weakly coupled expanding maps with holes
Jean-Baptiste Bardet, Bastien Fernandez
This paper discusses possible approaches to the escape rate in infinite lattices of weakly coupled maps with uniformly expanding repeller. It is proved that computed-via-volume rat…
On the Laplace transform of perpetuities with thin tails
Jean-Baptiste Bardet, Hélène Guerin, Florent Malrieu
We consider the random variables which are solutions of the distributional equation $R\overset{\cL}{=}MR+Q$, where is independent of and $\ABS{M}\leq 1$. Goldie and…