R. Miles
Uniform periodic point growth in entropy rank one
Miles, R.; Ward, T.
Authors
T. Ward
Abstract
We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.
Citation
Miles, R., & Ward, T. (2008). Uniform periodic point growth in entropy rank one. Proceedings of the American Mathematical Society, 136(01), 359-365. https://doi.org/10.1090/s0002-9939-07-09018-1
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2008 |
Deposit Date | Oct 12, 2012 |
Publicly Available Date | Dec 14, 2012 |
Journal | Proceedings of the American Mathematical Society |
Print ISSN | 0002-9939 |
Electronic ISSN | 1088-6826 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
Volume | 136 |
Issue | 01 |
Pages | 359-365 |
DOI | https://doi.org/10.1090/s0002-9939-07-09018-1 |
Files
Accepted Journal Article
(365 Kb)
PDF
Copyright Statement
First published in Transactions of the American Mathematical Society in 2008, volume 136 published by the American Mathematical Society. © Copyright 2008 American Mathematical Society.
You might also like
Directional uniformities, periodic points, and entropy
(2015)
Journal Article
Book review: "Automorphisms and equivalence relations in topological dynamics"
(2015)
Journal Article
Homogeneous dynamics: a study guide
(2015)
Book Chapter
Dynamical invariants for group automorphisms
(2015)
Book Chapter
Towards a Pólya–Carlson dichotomy for algebraic dynamics
(2014)
Journal Article