Maxime Ligonniere

most citedOn the contraction properties of a pseudo-Hilbert projective metric

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math.PR2024

A Kesten Stigum theorem for Galton-Watson processes with infinitely many types in a random environment

Maxime Ligonnière

In this paper, we study a Galton-Watson process $(Z_{n})$ with infinitely many types in a random ergodic environment $ξ ˉ = (ξ_{n})_{n \geq 0}$ . We focus on the supercritical regime of…

math.PR2023

Ergodic behavior of products of random positive operators

Maxime Ligonnière

This article is devoted to the study of products of random operators of the form $M_{0, n} = M_{0} \dots M_{n - 1}$ , where $(M_{n})_{n \in N}$ is an ergodic sequence of positive op…