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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 4, Pages 361–382
DOI: https://doi.org/10.1070/RD2000v005n04ABEH000154 (Mi rcd885) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Multifractal Analysis of Dimensions and Entropies

F. Takens, E. Verbitskiy

Department of Mathematics, University of Groningen, P. O. Box 800, 9700 AV, Groningen, The Netherlands
Citations (4)
DOI: https://doi.org/10.1070/RD2000v005n04ABEH000154
Abstract: The theory of dynamical systems has undergone a dramatical revolution in the 20th century. The beauty and power of the theory of dynamical systems is that it links together different areas of mathematics and physics. In the last 30 years a great deal of attention was dedicated to a statistical description of strange attractors. This led to the development of notions of various dimensions and entropies, which can be associated to the attractor, dynamical system or invariant measure. In this paper we review these notions and discuss relations between those, among which the most prominent is the so-called multifractal formalism.
Received: 19.10.2000
Bibliographic databases:
Document Type: Article
MSC: 58F (28D)
Language: English
Citation: F. Takens, E. Verbitskiy, “Multifractal Analysis of Dimensions and Entropies”, Regul. Chaotic Dyn., 5:4 (2000), 361–382
Citation in format AMSBIB
\Bibitem{TakVer00}
\by F. Takens, E.~Verbitskiy
\paper Multifractal Analysis of Dimensions and Entropies
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 4
\pages 361--382
\mathnet{http://mi.mathnet.ru/rcd885}
\crossref{https://doi.org/10.1070/RD2000v005n04ABEH000154}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1810621}
\zmath{https://zbmath.org/?q=an:0970.37002}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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