Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/9555| Title: | Statistical properties of type D dispersing billiards. |
| Authors: | Brown, Margaret Nándori, Péter 0000-0001-8238-6653 |
| Keywords: | Sinai billiards singularities complexity |
| Issue Date: | 2022 |
| Publisher: | American Institute of Mathematical Sciences |
| 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 |
| Series/Report no.: | Discrete and Continuous Dynamical Systems;42(10) |
| 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 |
| URI: | http://doi.org/10.3934/dcds.2022073 https://hdl.handle.net/20.500.12202/9555 |
| ISSN: | ISSN: 1078-0947 eISSN: 1553-5231 |
| Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Nandori Brown 2022 Statistical arXiv PrePrint 2006.05231.pdf | 404.8 kB | Adobe PDF |  View/Open |
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