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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 228, Pages 236–245
(Mi tm503)
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This article is cited in 5 scientific papers (total in 5 papers)
Simple Random Walks along Orbits of Anosov Diffeomorphisms
V. Y. Kaloshin, Ya. G. Sinai Princeton University, Department of Mathematics
Abstract:
We consider a Markov chain whose phase space is a $d$-dimensional torus. A point $x$ jumps to $x+\omega$ with probability $p(x)$ and to $x-\omega$ with probability $1-p(x)$. For Diophantine $\omega$ and smooth $p$ we prove that this Maslov chain has an absolutely continuous invariant measure and the distribution of any point after $n$ steps converges to this measure.
Received in September 1999
Citation:
V. Y. Kaloshin, Ya. G. Sinai, “Simple Random Walks along Orbits of Anosov Diffeomorphisms”, Problems of the modern mathematical physics, Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov, Trudy Mat. Inst. Steklova, 228, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 236–245; Proc. Steklov Inst. Math., 228 (2000), 224–233
Linking options:
https://www.mathnet.ru/eng/tm503 https://www.mathnet.ru/eng/tm/v228/p236
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Abstract page: | 616 | Full-text PDF : | 170 | References: | 58 |
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