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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.

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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