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arXiv · 2306.03470

An invitation to $\text{SL}_2(\mathbb{R})$ cocycles over random dynamics

Jamerson Bezerra·Mauricio Poletti
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Abstract

The purpose of these notes is to discuss the advances in the theory of Lyapunov exponents of linear $\text{SL}_2(\mathbb{R})$ 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.

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Jamerson Bezerra, Mauricio Poletti. 2023-06-06. An invitation to $\text{SL}_2(\mathbb{R})$ cocycles over random dynamics. https://arxiv.org/abs/2306.03470

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