Recurrence, dimensions and Lyapunov exponents
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0109197,
title = {Recurrence, dimensions and Lyapunov exponents},
author = {B. Saussol and S. Troubetzkoy and S. Vaienti},
journal= {arXiv preprint arXiv:math/0109197},
year = {2007}
}
Comments
12 pages