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Coupling methods for random topological Markov chains

Published online by Cambridge University Press:  20 October 2015

MANUEL STADLBAUER
MANUEL STADLBAUER*
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, CP 68530, CEP 21945-970, Rio de Janeiro (RJ), Brazil email [email protected]
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Abstract

We apply coupling techniques in order to prove that the transfer operators associated with random topological Markov chains and non-stationary shift spaces with the big images and preimages property have a spectral gap.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 3 , May 2017 , pp. 971 - 994
Copyright
© Cambridge University Press, 2015 

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