71 citations · 303 across the 42 of their papers we have counts for
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math.PR2017★ 15 cited
General criteria for the study of quasi-stationarity
Nicolas Champagnat, Denis Villemonais
For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in total variation norm to a quasi-stationary d…
math.PR2017★ 7 cited
A probabilistic approach to Dirac concentration in nonlocal models of adaptation with several resources
Nicolas Champagnat, Benoît Henry
This work is devoted to the study of scaling limits in small mutations and large time of the solutions u^ of two deterministic models of phenotypic adaptation, where the paramet…
math.PR2017
Lyapunov criteria for uniform convergence of conditional distributions of absorbed Markov processes
Nicolas Champagnat, Denis Villemonais
We study the quasi-stationary behavior of multidimensional processes absorbed when one of the coordinates vanishes. Our results cover competitive or weakly cooperative Lotka-Volter…