A dichotomy in orbit growth for commuting automorphisms

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Miles, Richard and Ward, Thomas (2010) A dichotomy in orbit growth for commuting automorphisms. Journal of the London Mathematical Society-Second Series, 81 (3). pp. 715-726. ISSN 0024-6107

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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
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 14:48
Last Modified: 12 Oct 2025 18:31
URI: https://ueaeprints.uea.ac.uk/id/eprint/19754
DOI: 10.1112/jlms/jdq010

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