M. Benaim

collaborators

3 papers

math.PR2026

On the occupation measure of evolution models with vanishing mutations

Michel BenaÃ¯m, Mario Bravo, Mathieu Faure

We study the almost sure convergence of the occupation measure of evolution models where mutation rates decrease over time. We show that if the mutation parameter vanishes at a con…

math.PR2024

Degenerate processes killed at the boundary of a domain

Michel BenaÃ¯m, Nicolas Champagnat, William OÃ§afrain +1

We investigate certain properties of degenerate Feller processes that are killed when exiting a relatively compact set. Our main result provides general conditions ensuring that su…

math.PR2024

The asymptotic behavior of fraudulent algorithms

Michel BenaÃ¯m, Laurent Miclo

Let $U$ be a Morse function on a compact connected $m$ -dimensional Riemannian manifold, $m \geq 2,$ satisfying $min U = 0$ and let $U = {x \in M : U (x) = 0}$ be the s…