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:	http://arxiv.org/abs/0904.3492
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	24 Sep 2024 09:14
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19754
DOI:	10.1112/jlms/jdq010

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