71 citations · 303 across the 42 of their papers we have counts for
6 papers · 1 filter
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…
On the link between infinite horizon control and quasi-stationary distributions
Julien Claisse, Nicolas Champagnat
We study infinite horizon control of continuous-time non-linear branching processes with almost sure extinction for general (positive or negative) discount. Our main goal is to stu…
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…
On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models
Fabien Campillo, Nicolas Champagnat, Coralie Fritsch
We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. To this aim,…