arXiv Analytics

Sign in

arXiv:2208.03603 [math.DS]AbstractReferencesReviewsResources

Maximal Large Deviations and Slow Recurrences in Weakly Chaotic Systems

Leonid A. Bunimovich, Yaofeng Su

Published 2022-08-07Version 1

We prove a maximal-type large deviation principle for dynamical systems with arbitrarily slow polynomial mixing rates. Also several applications, particularly to billiard systems, are presented.

Related articles:
arXiv:math/0610969 [math.DS] (Published 2006-10-31)
A "metric" complexity for weakly chaotic systems
arXiv:2404.09076 [math.DS] (Published 2024-04-13)
Polynomial escape rates via maximal large deviations