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Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent

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Abstract

For the Axiom-A attractors a relation is given between the topological pressure and the spectrum of the generalized Lyapunov exponents. As a consequence, a simple formula is found to compute the topological entropy of the attractor by means of a time series. The results are used to compute the large deviations for positive Lyapunov exponents.

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Authors and Affiliations

  1. Centre de Physique Théorique, Laboratoire Propre du CNRS, Luminy, Case 907-13288, Marseille, Cedex 09, France

    S. Vaienti

  2. Dipartimento di Fisica, Bologna, Italy

    S. Vaienti

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  1. S. Vaienti
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Vaienti, S. Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent. J Stat Phys 56, 403–413 (1989). https://doi.org/10.1007/BF01044443

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  • DOI: https://doi.org/10.1007/BF01044443

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