Séminaire Gaston Darboux :

Le 07 mars 2025 à 11:15 - salle 430

Présentée par Hautecoeur Arnaud -

Analyticity of the pressure function for random product of matrices

In this presentation, we will introduce the pressure for a random matrix product. This quantity naturally arises in the study of random walks on groups, as well as in other areas of mathematics. We will discuss the assumptions on the matrices and the existing results on the pressure. Then, we will provide an outline of the proof of analyticity. This presentation is based on the following article: https://arxiv.org/abs/2501.03590.