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arXiv · 2301.01721

Restricted variational principle of Lyapunov exponents for typical cocycles

Reza Mohammadpour
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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.

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BibTeXRIS

Reza Mohammadpour. 2023-01-04. Restricted variational principle of Lyapunov exponents for typical cocycles. https://arxiv.org/abs/2301.01721

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