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Recurrence, dimensions and Lyapunov exponents

Abstract : We show that the Poincaré return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via return times.
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https://hal.archives-ouvertes.fr/hal-00113005
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Submitted on : Friday, November 10, 2006 - 2:03:14 PM
Last modification on : Tuesday, October 19, 2021 - 10:59:13 PM

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B. Saussol, Serge Troubetzkoy, S. Vaienti. Recurrence, dimensions and Lyapunov exponents. Journal of Statistical Physics, Springer Verlag, 2002, 106, pp.623-634. ⟨hal-00113005⟩

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