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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1987
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| In: |
Transactions of the American Mathematical Society
Year: 1987, Volume: 302, Issue: 1, Pages: 125-149 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/S0002-9947-1987-0887501-5 |
| Online Access: | 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/ 
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| Author Notes: | Mike Boyle and Wolfgang Krieger |
| Summary: | 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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| Item Description: | Gesehen am 10.08.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/S0002-9947-1987-0887501-5 |