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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 4, Pages 70–74
DOI: https://doi.org/10.4213/faa3165 (Mi faa3165) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

On a Scaling Entropy Sequence of a Dynamical System

P. B. Zatitskiiab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (169 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3165
Abstract: We present a series of statements about scaling entropy, a metric invariant of dynamical systems proposed by A. M. Vershik in the late 1990s. We show that this is indeed a metric invariant and calculate it in several special cases.
Keywords: metric invariants, entropy, scaling sequence, $\varepsilon$-entropy.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0026
MK-6133.2013.1
Gazprom Neft
Saint Petersburg State University 6.38.223.2014
Russian Foundation for Basic Research 13-01-12422 офи_м2
14-01-00373_а
Received: 01.09.2014
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 4, Pages 291–294
DOI: https://doi.org/10.1007/s10688-014-0072-x
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
Language: Russian
Citation: P. B. Zatitskii, “On a Scaling Entropy Sequence of a Dynamical System”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 70–74; Funct. Anal. Appl., 48:4 (2014), 291–294
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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