Construction d'un espace de Banach pour le produit de matrices al\'eatoires

TL;DR

This paper demonstrates that existing theorems on Banach spaces apply to the product of random matrices, highlighting the generality and broad applicability of these theoretical results.

Contribution

It extends the applicability of theorems from [1] to the model of random matrix products studied by Grama, Le Page, and Peigné, confirming the assumptions hold in this context.

Findings

Theorems 2.2-2.5 from [1] are applicable to random matrix products.

The assumptions of these theorems are verified for the model by Grama, Le Page, and Peigné.

The results emphasize the generality of the theoretical framework.

Abstract

The purpose of this article is to show that Theorems 2.2-2.5 from [1] apply to the product of random matrices considered by Grama, Le Page, and Peign\'e [2]. This allows us, in particular, to emphasize the general nature of the formulation of our theorems in [1] by showing that our assumptions are verified for previous models.