An invitation to $\text{SL}_2(\mathbb{R})$ cocycles over random dynamics
Dynamical Systems
2023-06-07 v1
Abstract
The purpose of these notes is to discuss the advances in the theory of Lyapunov exponents of linear cocycles over hyperbolic maps. The main focus is around results regarding the positivity of the Lyapunov exponent and the regularity of this function with respect to the underlying data.
Keywords
Cite
@article{arxiv.2306.03470,
title = {An invitation to $\text{SL}_2(\mathbb{R})$ cocycles over random dynamics},
author = {Jamerson Bezerra and Mauricio Poletti},
journal= {arXiv preprint arXiv:2306.03470},
year = {2023}
}