127 citations · 236 across the 18 of their papers we have counts for
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Long time behavior of Markov processes and beyond
Florian Bouguet, Florent Malrieu, Fabien Panloup +2
This note provides several recent progresses in the study of long time behavior of Markov processes. The examples presented below are related to other scientific fields as PDE's, p…
Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes
Freddy Bouchet, Julien Reygner
In the small noise regime, the average transition time between metastable states of a reversible diffusion process is described at the logarithmic scale by Arrhenius' law. The Eyri…
Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data
Benjamin Jourdain, Julien Reygner
Brenier and Grenier [SIAM J. Numer. Anal., 1998] proved that sticky particle dynamics with a large number of particles allow to approximate the entropy solution to scalar one-dimen…
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data
Benjamin Jourdain, Julien Reygner
This article is dedicated to the study of diagonal hyperbolic systems in one space dimension, with cumulative distribution functions, or more generally nonconstant monotonic bounde…