Recurrence, dimensions and Lyapunov exponents

Details Recurrence, dimensions and Lyapunov exponents Recurrence, dimensions and Lyapunov exponents

2001-09-25

arxiv.org/abs/math/0109197v1

Journal of Statistical Physics 106 (2002) 623-634.

Mathematics

Dynamical Systems

12 pages

Scientific paper

We show that the Poincar\'e 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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