arXiv:1110.0699 Abstract | arXiv Analytics

arXiv:1110.0699 [math.DS]Abstract References Reviews Resources

Topological pressure and the variational principle for actions of sofic groups

Published 2011-10-04, updated 2012-05-29Version 3

In this paper, 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.

Comments: 28 pages. Minor changes. Title changed. To appear in Ergod. Th. Dynam. Sys

Categories: math.DS

Subjects: 37D35

Keywords: variational principle, continuous actions, countable sofic groups, compact metrizable spaces, sofic context

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