Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-19T14:20:29.430Z Has data issue: false hasContentIssue false
  • English
  • Français

Local dimension of ergodic measures for two-dimensional Lorenz transformations

Published online by Cambridge University Press:  01 June 2000

THOMAS STEINBERGER
THOMAS STEINBERGER
Affiliation:
Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria
Get access Rights & Permissions [Opens in a new window]

Abstract

A class of transformations on $[0,1]^2$, which includes transformations obtained by a Poincaré section of the Lorenz equation, is considered. We prove a formula which connects local dimension, entropy and characteristic exponents of ergodic invariant probability measures.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 3 , June 2000 , pp. 911 - 923
Copyright
2000 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.)