Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards |
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| Authors: | Péter Bálint Imre Péter Tóth |
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| Affiliation: | (1) Mathematical Institute of the Technical University of Budapest, Egry József u. 1, H-1111 Budapest, Hungary;(2) MTA-BME Stochastics Research Group, Egry József u. 1, H-1111 Budapest, Hungary |
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| Abstract: | We prove exponential decay of correlations for a “reasonable” class of multi-dimensional dispersing billiards. The scatterers are required to be C 3 smooth, the horizon is finite, there are no corner points. In addition, we assume subexponential complexity of the singularity set. Submitted: November 10, 2007. Accepted: May 23, 2008. |
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