Erdos-Renyi laws for exponentially and polynomially mixing dynamical systems
Dynamical Systems
2021-03-02 v1
Abstract
Erdos-Renyi limit laws give the length scale of a time-window over which time-averages in Birkhoff sums have a non-trivial almost-sure limit. We establish Erdos-Renyi type limit laws for Holder observables on dynamical systems modeled by Young Towers with exponential and polynomial tails. This extends earlier results on Erdos-Renyi limit laws to a broad class of dynamical systems with some degree of hyperbolicity.
Cite
@article{arxiv.2103.00645,
title = {Erdos-Renyi laws for exponentially and polynomially mixing dynamical systems},
author = {Nicolai Haydn and Matthew Nicol},
journal= {arXiv preprint arXiv:2103.00645},
year = {2021}
}