Some Weak Specification Properties and Strongly Mixing
In this paper, the authors first construct a dynamical system which is strongly mixing but has no weak specification property. Then the authors introduce two new concepts which are called the quasi-weak specification property and the semi-weak specification property in this paper, respectively, and...
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Veröffentlicht in: | Chinese annals of mathematics. Serie B 2017-09, Vol.38 (5), p.1111-1118 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, the authors first construct a dynamical system which is strongly mixing but has no weak specification property. Then the authors introduce two new concepts which are called the quasi-weak specification property and the semi-weak specification property in this paper, respectively, and the authors prove the equivalence of quasi-weak specification property, semi-weak specification property and strongly mixing. |
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ISSN: | 0252-9599 1860-6261 |
DOI: | 10.1007/s11401-017-1026-4 |