Limit theorems for toral translations
Dynamical Systems
2020-06-23 v1 Number Theory
Abstract
We discuss some classical and recent results and open problems on the statistical behavior of ergodic sums above toral translations, and their applications to Diophantine approximations and to ergodic properties of systems related to quasi-periodic dynamics such as skew products, cylindrical cascades and special flows.
Keywords
Cite
@article{arxiv.2006.11748,
title = {Limit theorems for toral translations},
author = {Dmitry Dolgopyat and Bassam Fayad},
journal= {arXiv preprint arXiv:2006.11748},
year = {2020}
}
Comments
Paper published in Proc. Sympos. Pure Math., 89, Amer. Math. Soc., Providence, RI, 2015