Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-16T22:10:24.624Z Has data issue: false hasContentIssue false
  • English
  • Français

Gibbs properties of self-conformal measures and the multifractal formalism

Published online by Cambridge University Press:  20 April 2007

DE-JUN FENG
DE-JUN FENG
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong (e-mail: djfeng@math.cuhk.edu.hk) and Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China (e-mail: dfeng@math.tsinghua.edu.cn)
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove that for any self-conformal measures, without any separation conditions, the multifractal formalism partially holds. The result follows by establishing certain Gibbs properties for self-conformal measures.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 3 , June 2007 , pp. 787 - 812
Copyright
2007 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.)