Restricted variational principle of Lyapunov exponents for typical cocycles
Dynamical Systems
2023-01-05 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
In this paper, we study the multifractal formalism of Lyapunov exponents for typical cocycles. We establish a variational relation between the Legendre transform of topological pressure of the generalized singular value function and measure-theoretic entropies. As a consequence, we show that the restricted variational principle of Lyapunov exponents holds for typical cocycles.
Keywords
Cite
@article{arxiv.2301.01721,
title = {Restricted variational principle of Lyapunov exponents for typical cocycles},
author = {Reza Mohammadpour},
journal= {arXiv preprint arXiv:2301.01721},
year = {2023}
}
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