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Problemy Peredachi Informatsii, 2023, Volume 59, Issue 2, Pages 49–62
DOI: https://doi.org/10.31857/S0555292323020043 (Mi ppi2397) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Large Systems

Geometric interpretation of the entropy of sofic systems

G. D. Dvorkin

Department of Mathematical Statistics and Random Processes, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292323020043
Abstract: We consider a geometric approach to the notion of metric entropy. We justify the possibility of this approach for the class of Borel invariant ergodic probability measures on sofic systems, which is the first result of such generality for non-Markovian systems.
Keywords: metric entropy, local boundary deformation rate, symbolic system, synchronized system, sofic system, invariant ergodic measure, derived space, Markov boundary.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS
The research was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS.”
Received: 10.04.2023
Revised: 18.07.2023
Accepted: 24.07.2023
English version:
Problems of Information Transmission, 2023, Volume 59, Issue 2, Pages 115–127
DOI: https://doi.org/10.1134/S0032946023020047
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 517.938 : 519.722
Language: Russian
Citation: G. D. Dvorkin, “Geometric interpretation of the entropy of sofic systems”, Probl. Peredachi Inf., 59:2 (2023), 49–62; Problems Inform. Transmission, 59:2 (2023), 115–127
Citation in format AMSBIB
\Bibitem{Dvo23}
\by G.~D.~Dvorkin
\paper Geometric interpretation of the entropy of sofic systems
\jour Probl. Peredachi Inf.
\yr 2023
\vol 59
\issue 2
\pages 49--62
\mathnet{http://mi.mathnet.ru/ppi2397}
\crossref{https://doi.org/10.31857/S0555292323020043}
\edn{https://elibrary.ru/PPWQAP}
\transl
\jour Problems Inform. Transmission
\yr 2023
\vol 59
\issue 2
\pages 115--127
\crossref{https://doi.org/10.1134/S0032946023020047}
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  • https://www.mathnet.ru/eng/ppi/v59/i2/p49
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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