2 citations · 2 across the 5 of their papers we have counts for
5 papers
Threatening excursions in large population quasi-stationary birth and death systems. On a question of Antonio Galves
Pierre Collet, Servet Martínez, Sylvie Méléard
We consider time continuous multispecies birth and death processes in a regime of large populations. The jump rates depend on a large scaling parameter K modeling the charge capaci…
Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes
Pierre Collet, Sylvie Méléard, Jaime San
In this article we study the long time behaviour of measure-valued birth and death processes in continuous time, where the dynamics between jumps are one-dimensional Markov process…
Long time behavior of a degenerate stochastic system modeling the response of a population face to environmental impacts
Pierre Collet, Claire Ecotière, Sylvie Méléard
We study the asymptotics of a two-dimensional stochastic differential system with a degenerate diffusion matrix. This system describes the dynamics of a population where individual…
Branching diffusion processes and spectral properties of Feynman-Kac semigroup
Pierre Collet, Sylvie Méléard, Jaime San MARTIN
In this article we study the long time behavior of linear functionals of branching diffusion processesas well as the time reversal of the spinal process by means of spectral proper…
Asymptotic velocity of one dimensional diffusions with periodic drift
P. Collet S. Martinez
We consider the asymptotic behaviour of the solution of one dimensional stochastic differential equations and Langevin equations in periodic backgrounds with zero average. We prove…