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math.DS2022
Maximal Large Deviations and Slow Recurrences in Weakly Chaotic Systems
Leonid A. Bunimovich, Yaofeng Su
We prove a maximal-type large deviation principle for dynamical systems with arbitrarily slow polynomial mixing rates. Also several applications, particularly to billiard systems,…
math.DS2022
Back to Boundaries in Billiards
Leonid Bunimovich, Yaofeng Su
We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such hol…