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Equivariant thinning over a free group

Part of: Stochastic processes Distribution theory - Probability Ergodic theory

Published online by Cambridge University Press:  25 September 2018

TERRY SOO  and
AMANDA WILKENS Open the ORCID record for AMANDA WILKENS [Opens in a new window]
TERRY SOO
Affiliation:
Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Blvd, Lawrence, Kansas 66045-7594, USA email [email protected], [email protected]
AMANDA WILKENS
Affiliation:
Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Blvd, Lawrence, Kansas 66045-7594, USA email [email protected], [email protected]
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Abstract

We construct entropy increasing monotone factors in the context of a Bernoulli shift over the free group of rank at least two.

Keywords

Sinai factor theoremOrnstein and Weissthinningmonotone couplingnon-amenable group

MSC classification

Primary: 37A35: Entropy and other invariants, isomorphism, classification
Secondary: 60G10: Stationary processes 60E15: Inequalities; stochastic orderings
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 40 , Issue 4 , April 2020 , pp. 1057 - 1067
Copyright
© Cambridge University Press, 2018

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