On flow equivalence of one-sided topological Markov shifts (Q2802112)
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scientific article; zbMATH DE number 6573143
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On flow equivalence of one-sided topological Markov shifts |
scientific article; zbMATH DE number 6573143 |
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On flow equivalence of one-sided topological Markov shifts (English)
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25 April 2016
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suspension flow
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one-sided topological Markov shift
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dynamical zeta function
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orbit equivalence
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0.92259204
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0.9105429
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0.89017045
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0.8825495
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Flow equivalence of two-sided topological Markov shifts is classified in terms of algebraic properties of the defining integer matrices by work of \textit{R. Bowen} and \textit{J. Franks} [Ann. Math. (2) 106, 73--92 (1977; Zbl 0375.58018)] and \textit{J. Franks} [Ergodic Theory Dyn. Syst. 4, 53--66 (1984; Zbl 0555.54026)] and of \textit{B. Parry} and \textit{D. Sullivan} [Topology 14, 297--299 (1975; Zbl 0314.54045)]. Here an appropriate version of the suspension flow and of flow equivalence is introduced for the case of one-sided topological Markov shifts, and it is shown that the one-sided flow equivalence is equivalent to continuous orbit equivalence of one-sided topological Markov shifts. The zeta function of the flow is also studied.
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