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arXiv:math/0109197 [math.DS]AbstractReferencesReviewsResources

Recurrence, dimensions and Lyapunov exponents

B. Saussol, S. Troubetzkoy, S. Vaienti

Published 2001-09-25Version 1

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.

Comments: 12 pages
Journal: Journal of Statistical Physics 106 (2002) 623-634.
Categories: math.DS, math-ph, math.MP
Subjects: 37B20
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