PreprintCC BY 4.0arXiv
Statistical properties for irregular observables in slowly mixing hyperbolic systems
Abstract
We prove various statistical properties (i.e., decay of correlations, central limit theorems with convergence rates, maximal large deviations and almost sure invariance principles) for non-smooth observables in the form of indicators functions in polynomially mixing hyperbolic dynamical systems. Such results were not known (or even expected to hold) for slowly mixing hyperbolic systems, although they are important for applications to physics and other sciences.
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BibTeX
@misc{bunimovich2026statistical,
title = {{Statistical properties for irregular observables in slowly mixing hyperbolic systems}},
author = {Leonid A. Bunimovich and Yaofeng Su},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.15569},
eprint = {2608.15569},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.15569},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Statistical properties for irregular observables in slowly mixing hyperbolic systems
AU - Leonid A. Bunimovich
AU - Yaofeng Su
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.15569
UR - https://arxiv.org/abs/2608.15569
AB - We prove various statistical properties (i.e., decay of correlations, central limit theorems with convergence rates, maximal large deviations and almost sure invariance principles) for non-smooth observables in the form of indicators functions in polynomially mixing hyperbolic dynamical systems. Such results were not known (or even expected to hold) for slowly mixing hyperbolic systems, although they are important for applications to physics and other sciences.
ER -