Email this article The Entropy of Gibbs Measures on Sofic Groups
- Authors: Alpeev A.1
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Affiliations:
- Chebyshev Laboratory, St. Petersburg State University
- Issue: Vol 215, No 6 (2016)
- Pages: 649-658
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237693
- DOI: https://doi.org/10.1007/s10958-016-2871-5
- ID: 237693
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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 conditions we show that the sofic entropy of the corresponding shift action does not depend on a sofic approximation. Bibliography: 12 titles.
About the authors
A. Alpeev
Chebyshev Laboratory, St. Petersburg State University
Author for correspondence.
Email: alpeevandrey@gmail.com
Russian Federation, St. Petersburg
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