3 papers
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 with infinitely many types in a random ergodic environment . 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 , where is an ergodic sequence of positive op…
math.FA2023
On the contraction properties of a pseudo-Hilbert projective metric
Maxime Ligonnière
In this note, we define a bounded variant on the Hilbert projective metric on an infinite dimensional space and study the contraction properties of the projective maps associat…