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ToolsMiles, Richard and Ward, Thomas (2006) Periodic point data detects subdynamics in entropy rank one. Ergodic Theory and Dynamical Systems, 26 (06). pp. 1913-1930. ISSN 0143-3857
Full text not available from this repository.Abstract
A framework for understanding the geometry of continuous actions of Zd was developed by Boyle and Lind using the notion of expansive behaviour along lower-dimensional subspaces. For algebraic Zd-actions of entropy rank one, the expansive subdynamics are readily described in terms of Lyapunov exponents. Here we show that periodic point counts for elements of an entropy rank-one action determine the expansive subdynamics. Moreover, the finer structure of the non-expansive set is visible in the topological and smooth structure of a set of functions associated to the periodic point data.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Science > School of Mathematics |
| Depositing User: | Vishal Gautam |
| Date Deposited: | 18 Mar 2011 14:48 |
| Last Modified: | 13 Feb 2023 12:30 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/19747 |
| DOI: | 10.1017/S014338570600054X |
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