A directional uniformity of periodic point distribution and mixing

MILES, Richard and WARD, Thomas (2010). A directional uniformity of periodic point distribution and mixing. Discrete and Continuous Dynamical Systems - Series A, 30 (4), 1181-1189.

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Link to published version:: https://doi.org/10.3934/dcds.2011.30.1181

Abstract

For mixing~Zd-actions generated by commuting automorphisms of a compact abelian group, we investigate the directional uniformity of the rate of periodic point distribution and mixing. When each of these automorphisms has finite entropy, it is shown that directional mixing and directional convergence of the uniform measure supported on periodic points to Haar measure occurs at a uniform rate independent of the direction.

Item Type: Article
Departments: Faculty of Social Sciences and Humanities > Teacher Education
Identification Number: https://doi.org/10.3934/dcds.2011.30.1181
Depositing User: Richard Miles
Date Deposited: 26 Jan 2018 14:52
Last Modified: 26 Jan 2018 14:52
URI: http://shura.shu.ac.uk/id/eprint/17225

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