MILES, Richard (2008). Homoclinic points of non-expansive automorphisms. Aequationes Mathematicae, 26 (1-2), 1-18.
Full text not available from this repository.Abstract
We study homoclinic points of non-expansive automorphisms of compact abelian groups. Connections between the existence of non-trivial homoclinic points, expansiveness, entropy and adjoint automorphisms (in the sense of Einsiedler and Schmidt) are explored. Some implications for countable abelian group actions by automorphisms of compact abelian groups are also considered and it is shown that if every element of such an action has finite entropy, there can be no non-trivial common homoclinic points, unless the action is generated by a single automorphism.
Item Type: | Article |
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Departments - Does NOT include content added after October 2018: | Faculty of Social Sciences and Humanities > Department of Teacher Education |
Identification Number: | https://doi.org/10.1007/s00010-007-2919-1 |
Page Range: | 1-18 |
Depositing User: | Richard Miles |
Date Deposited: | 26 Jan 2018 14:06 |
Last Modified: | 18 Mar 2021 16:30 |
URI: | https://shura.shu.ac.uk/id/eprint/17233 |
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