285 citations · 285 across the 4 of their papers we have counts for
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Competitive or Weak Cooperative Stochastic Lotka-Volterra Systems Conditioned to Non-Extinction
Patrick Cattiaux, Sylvie Méléard
We are interested in the long time behavior of a two-type density-dependent biological population conditioned to non-extinction, in both cases of competition or weak cooperation be…
Measurability of optimal transportation and strong coupling of martingale measures
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
We consider the optimal mass transportation problem in $\RR^d$ with measurably parameterized marginals, for general cost functions and under conditions ensuring the existence of a…
Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential equations. For a specific…
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Nicolas Fournier, Sylvie Meleard
We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann,…