A dichotomy in orbit growth for commuting automorphisms

Miles, R.; Ward, T.

doi:10.1112/jlms/jdq010

A dichotomy in orbit growth for commuting automorphisms

Miles, R.; Ward, T.

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

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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