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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 448, Pages 7–13 (Mi znsl6300)

Announce of an entropy formula for a class of Gibbs measures

A. V. Alpeev

Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia

Abstract: An explicit formula is announced for the Rokhlin and sofic entropy of a class of actions of sofic groups generated by Gibbs measures.

Key words and phrases: sofic entropy, sofic group, Rokhlin entropy, generating partition, Gibbs measure, Dobrushin uniqueness condition.

UDC: 517.987.5+519.248.22

Received: 16.09.2016


 English version:
Journal of Mathematical Sciences (New York), 2017, 224:2, 171–175

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© Steklov Math. Inst. of RAS, 2024