Topological pressure and the variational principle for actions of sofic groups-Reference-Cited by-同舟云学术

Topological pressure and the variational principle for actions of sofic groups

Published:2012-07-25 Issue:5 Volume:33 Page:1363-1390
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

CHUNG NHAN-PHU

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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