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The Entropy of Gibbs Measures on Sofic Groups

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We show that for every local potential on a sofic group there exists a shift-invariant Gibbs measure. Under some conditions we show that the sofic entropy of the corresponding shift action does not depend on a sofic approximation. Bibliography: 12 titles.

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Authors and Affiliations

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

    A. Alpeev

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  1. A. Alpeev
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Correspondence to A. Alpeev.

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 436, 2015, pp. 34–48.

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Alpeev, A. The Entropy of Gibbs Measures on Sofic Groups. J Math Sci 215, 649–658 (2016). https://doi.org/10.1007/s10958-016-2871-5

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  • DOI: https://doi.org/10.1007/s10958-016-2871-5

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