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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Saussol, B., Troubetzkoy, S. & Vaienti, S. Recurrence, Dimensions, and Lyapunov Exponents. Journal of Statistical Physics 106, 623–634 (2002). https://doi.org/10.1023/A:1013710422755
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DOI: https://doi.org/10.1023/A:1013710422755