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math.PR2025
Generators of measure-valued jump diffusions and convergence rate of diffusive mean-field models
Xavier Erny
The paper has two objectives: proving that the rate of convergence in distribution for mean-field models in CLT regime is , and obtaining explicit expressions for the inf…
math.PR2024
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…