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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APA
Saussol, B., Troubetzkoy, S., & Vaienti, S. (2002). Recurrence, dimensions, and Lyapunov exponents. Journal of Statistical Physics, 106(3–4), 623–634. https://doi.org/10.1023/A:1013710422755
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