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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 436, Pages 34–48 (Mi znsl6158)

This article is cited in 7 papers

The entropy of Gibbs measures on sofic groups

A. Alpeev

Chebyshev Laboratory, St. Petersburg State University, 14th Line 29b, 199178 St. Petersburg, Russia

Abstract: We show that for every local potential on a sofic group there exists a shift-invariant Gibbs measure. Under some condition we show that the sofic entropy of the corresponding shift action does not depend on a sofic approximation.

Key words and phrases: Gibbs measure, sofic entropy, Dobrushin uniqueness condition.

UDC: 517.987.5+519.248.22

Received: 15.09.2015

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2016, 215:6, 649–658

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© Steklov Math. Inst. of RAS, 2024