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math.PR2013
On the long time behavior of stochastic vortices systems
Joaquin Fontbona, Benjamin Jourdain
In this paper, we are interested in the long-time behaviour of stochastic systems of n interacting vortices: the position in R2 of each vortex evolves according to a Brownian motio…
math.PR2013
Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium
Joaquin Fontbona, Sylvie Méléard
We introduce a stochastic individual model for the spatial behavior of an animal population of dispersive and competitive species, considering various kinds of biological effects,…