Topological pressure and the variational principle for actions of sofic groups

2011/10/04 by Chung, Nhan-Phu · 1 citation
#37D35 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1110.0699

Abstract

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.

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• Relative entropy, topological pressure and variational principle for locally compact sofic group actions

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