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A dichotomy in orbit growth for commuting automorphisms

Miles, R.; Ward, T.

A dichotomy in orbit growth for commuting automorphisms Thumbnail


Authors

R. Miles

T. Ward



Abstract

We consider asymptotic orbit-counting problems for certain expansive actions by commuting automorphisms of compact groups. A dichotomy is found between systems with asymptotically more periodic orbits than the topological entropy predicts, and those for which there is no excess of periodic orbits.

Citation

Miles, R., & Ward, T. (2010). A dichotomy in orbit growth for commuting automorphisms. Journal of the London Mathematical Society, 81(3), 715-726. https://doi.org/10.1112/jlms/jdq010

Journal Article Type Article
Publication Date Jun 1, 2010
Deposit Date Oct 12, 2012
Publicly Available Date Oct 18, 2012
Journal Journal of the London Mathematical Society
Print ISSN 0024-6107
Electronic ISSN 1469-7750
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 81
Issue 3
Pages 715-726
DOI https://doi.org/10.1112/jlms/jdq010
Public URL https://durham-repository.worktribe.com/output/1473168

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Copyright Statement
This is a pre-copy-editing author-produced PDF of an article accepted for publication in Journal of the London Mathematical Society following peer review. The definitive publisher-authenticated version Miles, R. and Ward, T. (2010) 'A dichotomy in orbit-growth for commuting automorphisms.', Journal of the London Mathematical Society., 81 (3). pp. 715-726 is available online at: http://dx.doi.org/10.1112/jlms/jdq010





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