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Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards |
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| Authors: | Pavel Bachurin Péter Bálint Imre Péter Tóth |
| Institution: | 1. Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4, Canada 2. Mathematical Institute of the Technical University of Budapest, Egry József u. 1, H-1111, Budapest, Hungary 3. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012, USA 4. Alfréd Rényi Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053, Budapest, Hungary 5. Research group “Stochastics” of the Technical University of Budapest and the Hungarian Academy of Sciences, Budapest, Hungary |
| Abstract: | We prove local ergodicity of uniformly hyperbolic discrete time dynamical systems with singularities, which satisfy certain regularity conditions and an assumption on the growth of unstable manifolds. We apply the result to prove ergodicity of a class of multi-dimensional dispersing billiards. |
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