191 citations · 256 across the 29 of their papers we have counts for
4 papers · 1 filter
Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution
Nicolas Champagnat, Denis Villemonais
We prove under mild conditions that the Fleming-Viot process selects the minimal quasi-stationary distribution for Markov processes with soft killing on non-compact state spaces. O…
Stochastic Methods for the Neutron Transport Equation I: Linear Semigroup asymptotics
Emma Horton, Andreas E. Kyprianou, Denis Villemonais
The Neutron Transport Equation (NTE) describes the flux of neutrons through an inhomogeneous fissile medium. In this paper, we reconnect the NTE to the physical model of the spatia…
Stochastic approximation on non-compact measure spaces and application to measure-valued Pólya processes
Cécile Mailler, Denis Villemonais
Our main result is to prove almost-sure convergence of a stochastic-approximation algorithm defined on the space of measures on a non-compact space. Our motivation is to apply this…
Probabilistic Non-asymptotic Analysis of Distributed Algorithms
Nicolas Champagnat, René Schott, Denis Villemonais
We present a new probabilistic analysis of distributed algorithms. Our approach relies on the theory of quasi-stationary distributions (QSD) recently developped by Champagnat and V…