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4 papers · 2 filters
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…
Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting
Xia Chen, Aurélien Deya, Jian Song +1
We study a wave equation in dimension with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under so…
Quasi-stationary behavior for an hybrid model of chemostat: the Crump-Young model
Bertrand Cloez, Coralie Fritsch
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and microorganisms dynamics in a chemostat. Substrate evolves following an ordinary…
On the exit-problem for self-interacting diffusions
Ashot Aleksian, Pierre Del Moral, Aline Kurtzmann +1
We study the exit-time from a domain of a self-interacting diffusion, where the Brownian motion is replaced by for a constant . The first part of this work consists in sh…