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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 2, Pages 41–47
DOI: https://doi.org/10.31857/S0555292322020041 (Mi ppi2367) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

Geometric interpretation of entropy for Dyck 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/S0555292322020041
Abstract: We consider a relation between the metric entropy and the local boundary defor mation rate (LBDR) in the symbolic case. We show the equality between the LBDR understood as a limit almost everywhere and the entropy for a vast class of measures on Dyck systems.
Keywords: metric entropy, local boundary deformation rate, symbolic system, nonsynchronized system, invariant ergodic measure, regular bracket sequence, Dyck system.
Received: 13.09.2021
Revised: 25.11.2021
Accepted: 26.11.2021
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 2, Pages 137–143
DOI: https://doi.org/10.1134/S0032946022020041
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 517.938 : 519.722
Language: Russian
Citation: G. D. Dvorkin, “Geometric interpretation of entropy for Dyck systems”, Probl. Peredachi Inf., 58:2 (2022), 41–47; Problems Inform. Transmission, 58:2 (2022), 137–143
Citation in format AMSBIB
\Bibitem{Dvo22}
\by G.~D.~Dvorkin
\paper Geometric interpretation of entropy for Dyck systems
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 2
\pages 41--47
\mathnet{http://mi.mathnet.ru/ppi2367}
\edn{https://elibrary.ru/DZCGLF}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 2
\pages 137--143
\crossref{https://doi.org/10.1134/S0032946022020041}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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