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Poisson limit law for Markov chains

Published online by Cambridge University Press:  19 September 2008

B. Pitskel
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Abstract

For a mixing stationary Markov chain we prove a Poisson limit law for the recurrence to small cylindrical sets. Since hyperbolic torus automorphisms are Markov chains, the result carries over to these transformations.

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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 3 , September 1991, pp. 501 - 513
Copyright
Copyright © Cambridge University Press 1991

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References

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