78 citations · 308 across the 17 of their papers we have counts for
20 papers
Probabilistic and Piecewise Deterministic models in Biology
Bertrand Cloez, Renaud Dessalles, Alexandre Genadot +3
We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (19…
Lotka-Volterra with randomly fluctuating environments: a full description
Florent Malrieu, Tran Hoa Phu
In this note, we study the long time behavior of Lotka-Volterra systems whose coefficients vary randomly. Benam and Lobry established that randomly switching between two environmen…
On the persistence regime for Lotka-Volterra in randomly fluctuating environments
Florent Malrieu, Pierre-André Zitt
In this note, we study the long time behavior of Lotka-Volterra systems whose coefficients vary randomly. Bena{ï}m and Lobry (2015) recently established that randomly switching bet…
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…
Long time behavior of telegraph processes under convex potentials
Joaquin Fontbona, Hélène Guérin, Florent Malrieu
We study the long-time behavior of variants of the telegraph process with position-dependent jump-rates, which result in a monotone gradient-like drift toward the origin. We comput…
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…