Hitting-time Limits for some Exceptional Rare Events of Ergodic Maps
Dynamical Systems
2018-06-08 v2
Abstract
We discuss limit distributions for hitting-time functions of certain exceptional families of asymptotically rare events for ergodic probability preserving transformations. The abstract core is an inducing argument. The latter applies, for example, to shrinking intervals around periodic points (both uniformly expanding and neutral) of certain finite measure preserving interval maps. In particular, we give a complete answer to a question raised in [FFTV].
Keywords
Cite
@article{arxiv.1710.02830,
title = {Hitting-time Limits for some Exceptional Rare Events of Ergodic Maps},
author = {Roland Zweimüller},
journal= {arXiv preprint arXiv:1710.02830},
year = {2018}
}
Comments
12 pages, minor corrections