Minimal dynamical systems on a discrete valuation domain

Jean-Luc Chabert; Ai-Hua Fan; Youssef Fares

doi:10.3934/dcds.2009.25.777

Article Contents

2009, Volume 25, Issue 3: 777-795. Doi: 10.3934/dcds.2009.25.777

This issue Previous Article Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows Next Article Homogenization of some particle systems with two-body interactions and of the dislocation dynamics

Minimal dynamical systems on a discrete valuation domain

1.
LAMFA, UMR 6140, CNRS, University of Picardie, 33 Rue Saint Leu, 80039 Amiens

Received: June 30, 2008

Revised: January 31, 2009

Published: August 2009

Abstract Related Papers Cited by

Abstract

We consider isometric dynamical systems on a Legendre set of a discrete valuation domain with finite residual field. We characterize the minimality of the system by using the structure sequence of the Legendre set and also find the corresponding adding machine to which such a minimal system is conjugate. The minimality of affine maps acting on the domain or on the group of units is fully studied.

Keywords:

discrete dynamics,
discrete valuation domain.

Mathematics Subject Classification: Primary: 37B05; Secondary: 11K36.

Citation:

Article Metrics

HTML views() PDF downloads(110) Cited by(0)

Minimal dynamical systems on a discrete valuation domain

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Minimal dynamical systems on a discrete valuation domain

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content