Uniform periodic point growth in entropy rank one

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.

Original language	English
Pages (from-to)	359-365
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	01
DOIs	https://doi.org/10.1090/S0002-9939-07-09018-1
Publication status	Published - 2008

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title = "Uniform periodic point growth in entropy rank one",

abstract = "We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.",

author = "Richard Miles and Thomas Ward",

year = "2008",

doi = "10.1090/S0002-9939-07-09018-1",

language = "English",

volume = "136",

pages = "359--365",

journal = "Proceedings of the American Mathematical Society",

publisher = "American Mathematical Society",

number = "01",

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T1 - Uniform periodic point growth in entropy rank one

AU - Miles, Richard

AU - Ward, Thomas

PY - 2008

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N2 - We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.

AB - We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.

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DO - 10.1090/S0002-9939-07-09018-1

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EP - 365

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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