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Communications in Mathematical Physics

, Volume 203, Issue 3, pp 593–612 | Cite as

Multifractal Analysis of Local Entropies for Expansive Homeomorphisms with Specification

  • Floris Takens
  • Evgeny Verbitski

Abstract:

In the present paper we study the multifractal spectrum of local entropies. We obtain results, similar to those of the multifractal analysis of pointwise dimensions, but under much weaker assumptions on the dynamical systems. We assume our dynamical system to be defined by an expansive homeomorphism with the specification property. We establish the variational relation between the multifractal spectrum and other thermodynamical characteristics of the dynamical system, including the spectrum of correlation entropies.

Keywords

Entropy Dynamical System Specification Property Variational Relation Thermodynamical Characteristic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Floris Takens
    • 1
  • Evgeny Verbitski
    • 1
  1. 1.Department of Mathematics, University of Groningen, P.O.Box 800, 9700 AV, Groningen, The Netherlands. E-mail: f.takens@math.rug.nl; e.verbitski@math.rug.nlNL

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