Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions

Jiu Ding; Aihui Zhou

doi:10.3934/dcds.2000.6.451

Article Contents

2000, Volume 6, Issue 2: 451-458. Doi: 10.3934/dcds.2000.6.451

This issue Previous Article Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints Next Article Bound sets for floquet boundary value problems: The nonsmooth case

Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions

Jiu Ding^1, and
Aihui Zhou^2,

1.
Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406-5045
2.
Institute of Systems Science, Academia Sinica, Beijing 100080

Received: May 31, 1999

Revised: October 31, 1999

Published: March 2000

Abstract Related Papers Cited by

Abstract

In this paper, by using a trace theorem in the theory of functions of bounded variation, we prove the existence of absolutely continuous invariant measures for a class of piecewise expanding mappings of general bounded domains in any dimension.

Keywords:

Mathematics Subject Classification: 58F11, 58F15.

Citation:

Article Metrics

HTML views() PDF downloads(176) Cited by(0)

Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content