Upper bound on the regularity of the Lyapunov exponent for random products of matrices

Autor:	Bezerra, Jamerson, Duarte, Pedro
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We prove that if $\mu$ is a finitely supported measure on $\text{SL}_2(\mathbb{R})$ with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function is not $\alpha$-H\"older around $\mu$ for any $\alpha$ exceeding the Shannon entropy of $\mu$ over the Lyapunov exponent of $\mu$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.03575 Zobrazit plný text záznamu View this record from Arxiv