Article contents
On pointwise dimension of non-hyperbolic measures
Published online by Cambridge University Press: 06 November 2002
Abstract
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.
- Type
- Research Article
- Information
- Copyright
- 2002 Cambridge University Press
- 5
- Cited by