78 citations · 308 across the 17 of their papers we have counts for
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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…
Qualitative properties of certain piecewise deterministic Markov processes
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
We study a class of Piecewise Deterministic Markov Processes with state space Rd x E where E is a finite set. The continuous component evolves according to a smooth vector field th…
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…