Statistical properties of type D dispersing billiards.

Date

2022

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Mathematical Sciences

Abstract

We consider dispersing billiard tables whose boundary is piecewise smooth and the free flight function is unbounded. We also assume there are no cusps. Such billiard tables are called type D in the monograph of Chernov and Markarian [9]. For a class of non-degenerate type D dispersing billiards, we prove exponential decay of correlation and several other statistical properties.

Description

Scholarly article / Open access

Keywords

Sinai billiards, singularities, complexity

Citation

Brown, M., & Nándori, P. (2022). Statistical properties of type D dispersing billiards. Discrete and Continuous Dynamical Systems, 42(10), 4823-4851 http://doi.org/10.3934/dcds.2022073