Statistical properties of type D dispersing billiards.
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Mathematical Sciences
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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