Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T01:15:20.516Z Has data issue: false hasContentIssue false
  • English
  • Français

On the completeness of multifractal spectra

Published online by Cambridge University Press:  01 December 1999

JÖRG SCHMELING
JÖRG SCHMELING
Affiliation:
Freie Universität Berlin, FB Mathematik und Informatik, Arnimallee 2-6, D–14195 Berlin, Germany (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the behavior of multifractal spectra on the boundary of their domains of definition. In particular, we show that the dimension of the set of points having minimal (or maximal) pointwise dimension is not necessarily zero. However, this situation may be neglected in the sense of Baire category for Gibbs measures on expanding conformal repellers.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999 , pp. 1595 - 1616
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)