Return time statistics for invariant measures for interval maps with positive Lyapunov exponent
Dynamical Systems
2009-04-20 v3
Abstract
We prove that multimodal maps with an absolutely continuous invariant measure have exponential return time statistics around a.e. point. We also show a `polynomial Gibbs property' for these systems, and that the convergence to the entropy in the Ornstein-Weiss formula has normal fluctuations. These results are also proved for equilibrium states of some Hoelder potentials.
Cite
@article{arxiv.0708.0379,
title = {Return time statistics for invariant measures for interval maps with positive Lyapunov exponent},
author = {Henk Bruin and Mike Todd},
journal= {arXiv preprint arXiv:0708.0379},
year = {2009}
}
Comments
Proof of Proposition 5 simplified