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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 436, Pages 34–48 (Mi znsl6158)  
This article is cited in 7 scientific papers (total 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
Full-text PDF (229 kB) Citations (7)
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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.
Funding agency Grant number
Russian Science Foundation 14-11-00581
This research is supported by the RSF grant 14-11-00581.
Received: 15.09.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 6, Pages 649–658
DOI: https://doi.org/10.1007/s10958-016-2871-5
Bibliographic databases:
Document Type: Article
UDC: 517.987.5+519.248.22
Language: English
Citation: A. Alpeev, “The entropy of Gibbs measures on sofic groups”, Representation theory, dynamical systems, combinatorial methods. Part XXV, Zap. Nauchn. Sem. POMI, 436, POMI, St. Petersburg, 2015, 34–48; J. Math. Sci. (N. Y.), 215:6 (2016), 649–658
Citation in format AMSBIB
\Bibitem{Alp15}
\by A.~Alpeev
\paper The entropy of Gibbs measures on sofic groups
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 436
\pages 34--48
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6158}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3498184}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 6
\pages 649--658
\crossref{https://doi.org/10.1007/s10958-016-2871-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84966524916}
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  • https://www.mathnet.ru/eng/znsl/v436/p34
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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