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https://hdl.handle.net/20.500.12202/9575| Title: | Equidistribution for standard pairs in planar dispersing billiard flows |
| Authors: | Bálint, Péter Szász, Domokos Tóth, Imre Péter Nándori, Péter 0000-0001-8238-6653 |
| Keywords: | Mathematics - Dynamical Systems |
| Issue Date: | 2018 |
| Publisher: | Springer |
| Citation: | Bálint, P., Nándori, P., Szász, D., & Tóth, I. P. (2018). Equidistribution for standard pairs in planar dispersing billiard flows. Annales Henri Poincaré,19, pages 979–1042 (2018) https://doi-org.ezproxy.yu.edu/10.1007/s00023-018-0648-8 |
| Series/Report no.: | Annales Henri Poincaré; |
| Abstract: | We prove exponential correlation decay in dispersing billiard flows on the 2-torus assuming finite horizon and lack of corner points. With applications aimed at describing heat conduction, the highly singular initial measures are concentrated here on 1-dimensional submanifolds (given by standard pairs) and the observables are supposed to satisfy a generalized Hölder continuity property. The result is based on the exponential correlation decay bound of Baladi et al. (Invent Math, 211:39–117, 2018. https://doi.org/10.1007/s00222-017-0745-1) obtained for Hölder continuous observables in these billiards. The model dependence of the bounds is also discussed. |
| Description: | Scholarly article / OA (arXiv PDF) |
| URI: | https://hdl.handle.net/20.500.12202/9575 http://doi.org/10.1007/s00023-018-0648-8 |
| Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Nandori OA arXiv Equidistirubtion 2018 1707.03068-2.pdf | 605.21 kB | Adobe PDF |  View/Open |
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