Periodic points and automorphisms of the shift
The automorphism group of a topological Markov shift is studied by way of periodic points and unstable sets. A new invariant for automorphisms of dynamical systems, the gyration function, is used to characterize those automorphisms of finite subsystems of the full shift on symbols which can be exten...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1987
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| In: |
Transactions of the American Mathematical Society
Year: 1987, Jahrgang: 302, Heft: 1, Pages: 125-149 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/S0002-9947-1987-0887501-5 |
| Online-Zugang: | Resolving-System, kostenfrei, Volltext: http://dx.doi.org/10.1090/S0002-9947-1987-0887501-5 Verlag, kostenfrei, Volltext: http://www.ams.org/journals/tran/1987-302-01/S0002-9947-1987-0887501-5/ |
| Verfasserangaben: | Mike Boyle and Wolfgang Krieger |
MARC
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| 520 | |a The automorphism group of a topological Markov shift is studied by way of periodic points and unstable sets. A new invariant for automorphisms of dynamical systems, the gyration function, is used to characterize those automorphisms of finite subsystems of the full shift on symbols which can be extended to a composition of involutions of the shift. | ||
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