Almost Markov and shift equivalent sofic systems

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 n symbols which can be ext...

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Bibliographic Details
Main Authors: Boyle, McBlaine Michael (Author) , Krieger, Wolfgang (Author)
Format: Chapter/Article
Language:English
Published: 1988
In: Dynamical Systems
Year: 1988, Pages: 33-93
DOI:10.1007/BFb0082823
Online Access:Resolving-System, Volltext: http://dx.doi.org/10.1007/BFb0082823
Verlag, Volltext: https://link.springer.com/chapter/10.1007/BFb0082823
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Author Notes:Mike Boyle and Wolfgang Krieger
Description
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 n symbols which can be extended to a composition of involutions of the shift.
Item Description:Gesehen am 10.08.2018
Physical Description:Online Resource
ISBN:9783540459460
9783540501749
DOI:10.1007/BFb0082823