37 citations · 54 across the 14 of their papers we have counts for
16 papers
On the occupation measure of evolution models with vanishing mutations
Michel Benaïm, Mario Bravo, Mathieu Faure
We study the almost sure convergence of the occupation measure of evolution models where mutation rates decrease over time. We show that if the mutation parameter vanishes at a con…
A note on the top Lyapunov exponent of linear cooperative systems
Michel Benaïm, Claude Lobry, Tewfik Sari +1
In a recent paper [Asymptotic of the largest Floquet multiplier for cooperative matrices Annales de la Faculté des Sciences de Toulouse, Tome XXXI, no 4 (2022)] P. Carmona gives an…
Analysis of an Adaptive Biasing Force method based on self-interacting dynamics
Michel Benaïm, Charles-Edouard Bréhier, Pierre Monmarché
This article fills a gap in the mathematical analysis of Adaptive Biasing algorithms, which are extensively used in molecular dynamics computations. Given a reaction coordinate, id…
Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain
Michel Benaïm, Nicolas Champagnat, Denis Villemonais
We study a random process with reinforcement, which evolves following the dynamics of a given diffusion process in a bounded domain and is resampled according to its occupation mea…
A user-friendly condition for exponential ergodicity in randomly switched environments
Michel Benaïm, Tobias Hurth, Edouard Strickler
We consider random switching between finitely many vector fields leaving positively invariant a compact set. Recently, Li, Liu and Cui showed that if one the vector fields has a gl…
Generic Behaviour of Strongly Reinforced Polya Urns : Convergence and Stability
Arnab Basu, Michel Benaim
We consider, as proposed and studied in Hofstad et.\ al.\ \cite{HHKR}, a class of graph-based "interacting urn"-type Polya urn model inspired by neuronal processing in the brain wh…