Entropy spectrum of Lyapunov exponents for typical cocycles
Dynamical Systems
2024-07-23 v3 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
In this paper, we study the size of the level sets of all Lyapunov exponents. For typical cocycles, we establish a variational relation between the topological entropy of the level sets of Lyapunov exponents and the topological pressure of the generalized singular value function.
Keywords
Cite
@article{arxiv.2210.11574,
title = {Entropy spectrum of Lyapunov exponents for typical cocycles},
author = {Reza Mohammadpour},
journal= {arXiv preprint arXiv:2210.11574},
year = {2024}
}
Comments
Some minor changes. Accepted for publication in the Journal of Dynamics and Differential Equations