Complex projective metrics on Young towers, countable sub-shifts and other countable covering maps
Dynamical Systems
2020-03-26 v3 Probability
Abstract
In this article we will apply complex projective metrics to sequences of complex transfer operators generated by Young towers, countable shifts and other types of distance expanding maps (possibly time dependent) with countable degrees. We will derive a sequential Ruelle-Perron-Frobenius theorem for sequence of complex operators defined by such maps, and relying on it a variety of probabilistic limit theorems (finer than the CLT) for non-stationary processes follows.
Keywords
Cite
@article{arxiv.1905.01622,
title = {Complex projective metrics on Young towers, countable sub-shifts and other countable covering maps},
author = {Yeor Hafouta},
journal= {arXiv preprint arXiv:1905.01622},
year = {2020}
}
Comments
The paper was partially incorporated in arXiv:2003.08528 (Appendix A). A version of this paper for random young towers will appear soon