Uniform periodic point growth in entropy rank one

Miles, R.; Ward, T.

doi:10.1090/s0002-9939-07-09018-1

Uniform periodic point growth in entropy rank one

Miles, R.; Ward, T.

Authors

R. Miles

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

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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.