78 citations · 93 across the 4 of their papers we have counts for
4 papers
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 length of one-dimensional reactive paths
Frédéric Cérou, Arnaud Guyader, Tony Lelièvre +1
Motivated by some numerical observations on molecular dynamics simulations, we analyze metastable trajectories in a very simplecsetting, namely paths generated by a one-dimensional…
On the stability of planar randomly switched systems
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
Consider the random process (Xt) solution of dXt/dt = A(It) Xt where (It) is a Markov process on {0,1} and A0 and A1 are real Hurwitz matrices on R2. Assuming that there exists lam…
Quantitative ergodicity for some switched dynamical systems
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
We provide quantitative bounds for the long time behavior of a class of Piecewise Deterministic Markov Processes with state space Rd \times E where E is a finite set. The continuou…