71 citations · 303 across the 42 of their papers we have counts for
4 papers · 1 filter
Quasi-limiting estimates for periodic absorbed Markov chains
Nicolas Champagnat, Denis Villemonais
We consider periodic Markov chains with absorption. Applying to iterates of this periodic Markov chain criteria for the exponential convergence of conditional distributions of aper…
Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We consider a stochastic model for the evolution of a discrete population structured by a trait with values on a finite grid of the torus, and with mutation and selection. Traits a…
Existence, uniqueness and ergodicity for the centered Fleming-Viot process
Nicolas Champagnat, Vincent Hass
Motivated by questions of ergodicity for shift invariant Fleming-Viot process, we consider the centered Fleming-Viot process defined by $Z_{t}…
Quasi-stationary distributions in reducible state spaces
Nicolas Champagnat, Denis Villemonais
We study quasi-stationary distributions and quasi-limiting behavior of Markov chains in general reducible state spaces with absorption. We propose a set of assumptions dealing with…