説明
<p>We introduce notions of suspension and flow equivalence on one-sided topological Markov shifts, which we call one-sided suspension and one-sided flow equivalence, respectively. We prove that one-sided flow equivalence is equivalent to continuous orbit equivalence on one-sided topological Markov shifts. We also show that the zeta function of the flow on a one-sided suspension is a dynamical zeta function with some potential function and that the set of certain dynamical zeta functions is invariant under one-sided flow equivalence of topological Markov shifts.</p>
収録刊行物
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- Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society 144 (7), 2923-2937, 2016-03-17
American Mathematical Society (AMS)
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詳細情報 詳細情報について
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- CRID
- 1360285709465069184
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- ISSN
- 10886826
- 00029939
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- データソース種別
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- Crossref
- KAKEN