Statistics of closest returns for some non-uniformly hyperbolic systems
Dynamical Systems
2007-05-23 v1
Abstract
For non uniformly hyperbolic maps of the interval with exponential decay of correlations we prove that the law of closest return to a given point when suitably normalized is almost surely asymptotically exponential. A similar result holds when the reference point is the initial point of the trajectory. We use the framework for non uniformly hyperbolic dynamical systems developed by L.S.Young.
Cite
@article{arxiv.math/9904134,
title = {Statistics of closest returns for some non-uniformly hyperbolic systems},
author = {P. Collet},
journal= {arXiv preprint arXiv:math/9904134},
year = {2007}
}