Recurrence, dimensions and Lyapunov exponents

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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.
12 pages

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Dynamical Systems, Mathematical Physics, 37B20

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http://salesiana.dossiersoluciones.com/handle/123456789/62261

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109197
 http://arxiv.org/abs/math/0109197
 Journal of Statistical Physics 106 (2002) 623-634.

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arXiv