Uniqueness Of Ergodic Optimization Of Top Lyapunov Exponent For Typical Matrix Cocycles
Dynamical Systems
2021-12-24 v1
Abstract
In this article, we consider the ergodic optimization of the top Lyapunov exponent. We prove that there is a unique maximising measure of top Lyapunov expoent for typical matrix cocyles. By using the results we obtain, we prove that in any non-uniquely ergodic minimal dynamical system, the Lyapunov-irregular points are typical for typical matrix cocyles.
Keywords
Cite
@article{arxiv.2112.12451,
title = {Uniqueness Of Ergodic Optimization Of Top Lyapunov Exponent For Typical Matrix Cocycles},
author = {Wanshan Lin and Xueting Tian},
journal= {arXiv preprint arXiv:2112.12451},
year = {2021}
}