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Problemy Peredachi Informatsii, 2012, Volume 48, Issue 1, Pages 15–25 (Mi ppi2065)  
This article is cited in 6 scientific papers (total in 6 papers)

Information Theory

Boundary distortion rate in synchronized systems: Geometrical meaning of entropy

S. A. Komech

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
Full-text PDF (217 kB) Citations (6)
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Abstract: The geometrical meaning of the Kolmogorov entropy is studied. The relation between the entropy and boundary distortion rate in the phase space is obtained for a wide class of symbolic dynamical systems, namely synchronized systems.
Received: 13.07.2011
Revised: 14.12.2011
English version:
Problems of Information Transmission, 2012, Volume 48, Issue 1, Pages 11–20
DOI: https://doi.org/10.1134/S0032946012010024
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.72
Language: Russian
Citation: S. A. Komech, “Boundary distortion rate in synchronized systems: Geometrical meaning of entropy”, Probl. Peredachi Inf., 48:1 (2012), 15–25; Problems Inform. Transmission, 48:1 (2012), 11–20
Citation in format AMSBIB
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\paper Boundary distortion rate in synchronized systems: Geometrical meaning of entropy
\jour Probl. Peredachi Inf.
\yr 2012
\vol 48
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\pages 15--25
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\transl
\jour Problems Inform. Transmission
\yr 2012
\vol 48
\issue 1
\pages 11--20
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Linking options:
  • https://www.mathnet.ru/eng/ppi2065
  • https://www.mathnet.ru/eng/ppi/v48/i1/p15
    • This publication is cited in the following 6 articles:
    1. G. D. Dvorkin, “Geometric interpretation of the entropy of sofic systems”, Problems Inform. Transmission, 59:2 (2023), 115–127  mathnet  crossref  crossref
    2. G. D. Dvorkin, “Geometric interpretation of entropy for Dyck systems”, Problems Inform. Transmission, 58:2 (2022), 137–143  mathnet  crossref  crossref
    3. G. D. Dvorkin, “Geometric interpretation of entropy: new results”, Problems Inform. Transmission, 57:3 (2021), 281–291  mathnet  crossref  crossref  isi
    4. B. M. Gurevich, S. A. Komech, A. A. Tempelman, “Sluchainoe usrednenie v ergodicheskoi teoreme i skorost deformatsii granits pod deistviem simvolicheskoi dinamiki”, Mosc. Math. J., 19:1 (2019), 77–88  mathnet  crossref
    5. B. M. Gurevich, S. A. Komech, “Deformation rate of boundaries in Anosov and related systems”, Proc. Steklov Inst. Math., 297 (2017), 188–199  mathnet  crossref  crossref  mathscinet  isi  elib
    6. B. M. Gurevich, S. A. Komech, “Entropy, Lyapunov Exponents and the Boundary Deformation Rate Under the Action of Hyperbolic Dynamical Systems”, J. Differ. Equ. Appl., 22:1 (2016), 140–146  crossref  mathscinet  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Abstract page:443
    Full-text PDF :123
    References:52
    First page:16
     
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