Learn about our response to COVID-19, including freely available research and expanded remote access support.

Multifractal Properties of Return Time Statistics

Nicolai Hadyn, José Luevano, Giorgio Mantica, and Sandro Vaienti
Phys. Rev. Lett. 88, 224502 – Published 20 May 2002
PDFExport Citation
Abstract
Authors
References

Abstract

The global statistics of the return times of a dynamical system can be described by a new spectrum of generalized dimensions. Comparison with the usual multifractal analysis of measures is presented, and the difference between the two corresponding sets of dimensions is established. Theoretical analysis and numerical examples of dynamical systems in the class of iterated functions are presented.

  • Received 19 May 2000

DOI:https://doi.org/10.1103/PhysRevLett.88.224502

©2002 American Physical Society

Authors & Affiliations

Nicolai Hadyn

  • Department of Mathematics, University of Southern California, Los Angeles, California 90089

José Luevano

  • Centre de Physique Théorique, Université de Aix Marseille II, Marseille, France
  • and Universidad Autonoma Metropolitana, Azcapotzalco, Mexico

Giorgio Mantica*

  • Center for Nonlinear and Complex Systems, Università dell'Insubria, Via Valleggio 11, Como, Italy
  • and I.N.F.M., unità di Como, I.N.F.N. sezione Milano, Milano, Italy

Sandro Vaienti

  • Centre de Physique Théorique, Luminy, Marseille, France
  • and PHYMAT, Université de Toulon et du Var, Toulon, France

  • *Electronic address: giorgio.mantica@uninsubria.it

References (Subscription Required)

Click to Expand
Issue

Vol. 88, Iss. 22 — 3 June 2002

Reuse & Permissions
Access Options
APS and the Physical Review Editorial Office Continue to Support Researchers

COVID-19 has impacted many institutions and organizations around the world, disrupting the progress of research. Through this difficult time APS and the Physical Review editorial office are fully equipped and actively working to support researchers by continuing to carry out all editorial and peer-review functions and publish research in the journals as well as minimizing disruption to journal access.

We appreciate your continued effort and commitment to helping advance science, and allowing us to publish the best physics journals in the world. And we hope you, and your loved ones, are staying safe and healthy.

Ways to Access APS Journal Articles Off-Campus

Many researchers now find themselves working away from their institutions and, thus, may have trouble accessing the Physical Review journals. To address this, we have been improving access via several different mechanisms. See Off-Campus Access to Physical Review for further instructions.

Authorization Required

Log In
Other Options
×

Download & Share

PDFExportReuse & PermissionsCiting Articles (22)
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search

Article Lookup

Paste a citation or DOI
Enter a citation
×