Distortion estimates for planar diffeomorphisms

Sheldon Newhouse

doi:10.3934/dcds.2008.22.345

Article Contents

2008, Volume 22, Issue 1&2: 345-412. Doi: 10.3934/dcds.2008.22.345

This issue Previous Article Large deviations for return times in non-rectangle sets for axiom a diffeomorphisms Next Article Journé's theorem for $C^{n,\omega}$ regularity

Distortion estimates for planar diffeomorphisms

Sheldon Newhouse^1,

1.
Mathematics Department, Michigan State University, E. Lansing, MI 48824-1027

Received: July 2007

Revised: November 2007

Published: March 2008

Abstract / Introduction Related Papers Cited by

Abstract

We define new distortion quantities for diffeomorphisms of the Euclidean plane and study their properties. In particular, we obtain composition rules for these quantities analogous to standard rules for maps of an interval. Our results apply to maps with unbounded derivatives and have important applications in the theory of SRB measures for surface diffeomorphisms.

Keywords:

Mathematics Subject Classification: Primary: 37C05, 37C40; Secondary: 37D05.

Citation:

Article Metrics

HTML views() PDF downloads(63) Cited by(0)

Distortion estimates for planar diffeomorphisms

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Distortion estimates for planar diffeomorphisms

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content