On SinaÄ Billiards on Flat Surfaces with Horns
We show that certain billiard flows on planar billiard tables with horns can be modeled as suspension flows over Young towers (Ann. Math. 147:585-650, 1998) with exponential tails. This implies exponential decay of correlations for the billiard map. Because the height function of the suspension flow...
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| Veröffentlicht in: | Journal of statistical physics 2021-05, Vol.183 (2) |
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| container_title | Journal of statistical physics |
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| creator | Bruin, Henk |
| description | We show that certain billiard flows on planar billiard tables with horns can be modeled as suspension flows over Young towers (Ann. Math. 147:585-650, 1998) with exponential tails. This implies exponential decay of correlations for the billiard map. Because the height function of the suspension flow itself is polynomial when the horns are Torricelli-like trumpets, one can derive Limit Laws for the billiard flow, including Stable Limits if the parameter of the Torricelli trumpet is chosen in (1, 2). |
| doi_str_mv | 10.1007/s10955-021-02746-w |
| format | Article |
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| title | On SinaÄ Billiards on Flat Surfaces with Horns |
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