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Restricted variational principle of Lyapunov exponents for typical cocycles (2301.01721v1)
Published 4 Jan 2023 in math.DS, math-ph, math.CA, and 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.
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