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A dichotomy in orbit-growth for commuting automorphisms.

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.

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.

Item Type:Article
Full text:PDF - Accepted Version (401Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1112/jlms/jdq010
Publisher 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
Record Created:12 Oct 2012 10:50
Last Modified:18 Oct 2012 15:25

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