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Coupling methods for random topological Markov chains

Published online by Cambridge University Press:  20 October 2015

MANUEL STADLBAUER*
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, CP 68530, CEP 21945-970, Rio de Janeiro (RJ), Brazil email manuel.stadlbauer@gmail.com
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Abstract

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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.

Information

Type
Research Article
Copyright
© Cambridge University Press, 2015