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Topological pressure and the variational principle for actions of sofic groups

Published online by Cambridge University Press:  25 July 2012

NHAN-PHU CHUNG
NHAN-PHU CHUNG*
Affiliation:
Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260-2900, USA (email: [email protected])
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Abstract

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We introduce topological pressure for continuous actions of countable sofic groups on compact metrizable spaces. This generalizes the classical topological pressure for continuous actions of countable amenable groups on such spaces. We also establish the variational principle for topological pressure in this sofic context.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 5 , October 2013 , pp. 1363 - 1390
Copyright
Copyright © 2012 Cambridge University Press 

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