Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent |
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| Authors: | S. Vaienti |
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| Affiliation: | (1) Centre de Physique Théorique, Laboratoire Propre du CNRS, Luminy, Case 907-13288 Marseille, Cedex 09, France;(2) Dipartimento di Fisica, Bologna, Italy |
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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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| Keywords: | Hyperbolic attractors topological pressure thermodynamic formalism topological entropy Lyapunov exponents large deviations |
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