Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Zat14}
\by P.~B.~Zatitskii
\paper On a Scaling Entropy Sequence of a Dynamical System
\jour Funktsional. Anal. i Prilozhen.
\yr 2014
\vol 48
\issue 4
\pages 70--74
\mathnet{http://mi.mathnet.ru/faa3165}
\crossref{https://doi.org/10.4213/faa3165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3372741}
\zmath{https://zbmath.org/?q=an:06434571}
\elib{https://elibrary.ru/item.asp?id=23421394}
\transl
\jour Funct. Anal. Appl.
\yr 2014
\vol 48
\issue 4
\pages 291--294
\crossref{https://doi.org/10.1007/s10688-014-0072-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000346483500007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919424240}
Linking options:
  • https://www.mathnet.ru/eng/faa3165
  • https://doi.org/10.4213/faa3165
  • https://www.mathnet.ru/eng/faa/v48/i4/p70
    • 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
    Statistics & downloads:
    Abstract page:439
    Full-text PDF :181
    References:77
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024