Statistical properties of dynamical systems with singularities |
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| Authors: | Roberto Markarian |
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| Affiliation: | (1) Instituto de Matemática y Estadística !["ldquo"]("/content/u2223232071388w0/xlarge8220.gif") Prof. Ing. Rafael Laguardia,!["rdquo"]("/content/u2223232071388w0/xlarge8221.gif") Facultad de Ingeniería, Universidad de la República, CC No. 30 Montevideo, Uruguay |
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| Abstract: | We prove statistical properties of two-dimensional hyperbolic dynamical systems with singularities. Bunimovich, Sinai, and Chernov proved a theorem on the subexponential decay of correlations and a central limit theorem for billiard systems. In this paper we use their techniques to prove the same results for  abstract systems. |
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| Keywords: | Dynamical systems hyperbolicity decay of correlations billiards |
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