191 citations · 256 across the 29 of their papers we have counts for
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Population processes with unbounded extinction rate conditioned to non-extinction
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of population processes with unbounded absorption rate, including one-dimensional birth and death processes with catastrophes an…
Uniform convergence to the Q-process
Nicolas Champagnat, Denis Villemonais
The first aim of the present note is to quantify the speed of convergence of a conditioned process toward its Q-process under suitable assumptions on the quasi-stationary distribut…
Non-failable approximation method for conditioned distributions
William Oçafrain, Denis Villemonais
We consider a general method for the approximation of the distribution of a process conditioned to not hit a given set. Existing methods are based on particle system that are faila…
Uniform convergence of penalized time-inhomogeneous Markov processes
Nicolas Champagnat, Denis Villemonais
We provide an original and general sufficient criterion ensuring the exponential contraction of Feynman-Kac semi-groups of penalized processes. This criterion is applied to time-in…
Criteria for exponential convergence to quasi-stationary distributions and applications to multi-dimensional diffusions
Nicolas Champagnat, Koléhè Coulibaly-Pasquier, Denis Villemonais
We consider general Markov processes with absorption and provide criteria ensuring the exponential convergence in total variation of the distribution of the process conditioned not…