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Restricted variational principle of Lyapunov exponents for typical cocycles

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.

preprint2023arXivOpen access
Reza Mohammadpour
math-phmath.DSmath.MPmath.CA
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Open access1 author4 topics
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Reza Mohammadpour

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