Hostname: page-component-7b7567c8c-tnzcf Total loading time: 0 Render date: 2026-11-14T04:25:17.030Z Has data issue: false hasContentIssue false
  • English
  • Français

On pointwise dimension of non-hyperbolic measures

Published online by Cambridge University Press:  06 November 2002

BORIS KALININ and
VICTORIA SADOVSKAYA
BORIS KALININ
Affiliation:
The University of Michigan, Ann Arbor, MI 48109, USA (e-mail: kalinin@umich.edu, sadovska@umich.edu)
VICTORIA SADOVSKAYA
Affiliation:
The University of Michigan, Ann Arbor, MI 48109, USA (e-mail: kalinin@umich.edu, sadovska@umich.edu)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We construct a diffeomorphism preserving a non-hyperbolic measure whose pointwise dimension does not exist almost everywhere. In the one-dimensional case we also show that such diffeomorphisms are typical in certain situations.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 6 , December 2002, pp. 1783 - 1801
Copyright
2002 Cambridge University Press