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math.PR2022★ 2 cited
Sharp approximation and hitting times for stochastic invasion processes
Vincent Bansaye, Xavier Erny, Sylvie Méléard
We are interested in the invasion phase for stochastic processes with interactions when a single mutant with positive fitness arrives in a resident population at equilibrium. By a…
math.PR2022★ 1 cited
Annealed limit for a diffusive disordered mean-field model with random jumps
Xavier Erny
We study a sequence of particle mean-field systems, each driven by simple point processes in a random environment. Each has the same intensity $(f(X^N_{…