The variational principle of local pressure for actions of sofic group

TL;DR

This paper establishes a variational principle for local pressure in the context of sofic group actions, advancing the understanding of dynamical systems with sofic groups.

Contribution

It introduces a variational principle for local pressure specifically tailored to actions of sofic groups, a novel extension in dynamical systems theory.

Findings

Proves the variational principle for local pressure in sofic group actions

Extends classical thermodynamic formalism to the sofic setting

Provides a foundation for further research in sofic dynamical systems

Abstract

This study establishes the variational principle for local pressure in the sofic context.