Stable CLT for deterministic systems
Dynamical Systems
2023-05-11 v2 Probability
Abstract
We show that for every ergodic and aperiodic probability preserving transformation and there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric -stable distribution.
Keywords
Cite
@article{arxiv.2211.03448,
title = {Stable CLT for deterministic systems},
author = {Zemer Kosloff and Dalibor Volny},
journal= {arXiv preprint arXiv:2211.03448},
year = {2023}
}
Comments
17 pages, 0 figures Version 2: restructured the paper in order to improve the presentation and adjusted the proofs accordingly