R. Miles
A dichotomy in orbit growth for commuting automorphisms
Miles, R.; Ward, T.
Authors
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 |
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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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