169 citations · 527 across the 30 of their papers we have counts for
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math.PR2014★ 61 cited
Lotka Volterra in fluctuating environment or "how switching between beneficial environments can make survival harder"
Michel Benaïm, Claude Lobry
We consider two dimensional Lotka-Volterra systems in fluctuating environment. Relying on recent results on stochastic persistence and piecewise deterministic Markov processes, we…
math.PR2014★ 21 cited
Self-repelling diffusions via an infinite dimensional approach
Michel Benaim, Ioana Ciotir, Carl-Erik Gauthier
In the present work we study self-interacting diffusions following an infinite dimensional approach. First we prove existence and uniqueness of a solution with Markov property. The…
math.PR2014★ 28 cited
A stochastic approximation approach to quasi-stationary distributions on finite spaces
Michel Benaïm, Bertrand Cloez
This work is concerned with the analysis of a stochastic approximation algorithm for the simulation of quasi-stationary distributions on finite state spaces. This is a generalizati…