A dichotomy in orbit growth for commuting automorphisms

Miles, R.; Ward, T.

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
• Public URL: https://durham-repository.worktribe.com/output/1473168