Skip to main content
Springer Nature Link
Log in

Multifractal Analysis of Local Entropies for Expansive Homeomorphisms with Specification

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  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.nl, , , , , , NL

    Floris Takens & Evgeny Verbitski

Authors
  1. Floris Takens
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Evgeny Verbitski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 22 September 1998 / Accepted: 11 December 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takens, F., Verbitski, E. Multifractal Analysis of Local Entropies for Expansive Homeomorphisms with Specification. Comm Math Phys 203, 593–612 (1999). https://doi.org/10.1007/s002200050627

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050627

Keywords

Search

Navigation