A note on quasi-weakly almost periodic point

Verfasser / Beitragende:
[Qi Yan, Jian Yin, Tao Wang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/4(2015-04-01), 637-646
Format:
Artikel (online)
ID: 605461848
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024 7 0 |a 10.1007/s10114-015-4202-z  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4202-z 
245 0 2 |a A note on quasi-weakly almost periodic point  |h [Elektronische Daten]  |c [Qi Yan, Jian Yin, Tao Wang] 
520 3 |a Recently, He et al. [On quasi-weakly almost periodic points. Sci. China Math., 56, 597-606 (2013)] constructed two binary sub-shifts to solve an open problem posed by Zhou and Feng in [Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: A brief survey of recent results. Nonlinearity, 17, 493-502 (2004)]. In this paper, we study more dynamical properties of those two binary sub-shifts. We show that the first one has zero topological entropy and is transitive but not weakly mixing, while the second one has positive topological entropy and is strongly mixing. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Topological entropy  |2 nationallicence 
690 7 |a weakly almost periodic point  |2 nationallicence 
690 7 |a quasi-weakly almost periodic point  |2 nationallicence 
690 7 |a strongly mixing  |2 nationallicence 
700 1 |a Yan  |D Qi  |u Department of Mathematics, Nanchang University, 330031, Nanchang, P. R. China  |4 aut 
700 1 |a Yin  |D Jian  |u Department of Mathematics, Nanchang University, 330031, Nanchang, P. R. China  |4 aut 
700 1 |a Wang  |D Tao  |u Department of Mathematics, Nanchang University, 330031, Nanchang, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/4(2015-04-01), 637-646  |x 1439-8516  |q 31:4<637  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4202-z  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yan  |D Qi  |u Department of Mathematics, Nanchang University, 330031, Nanchang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yin  |D Jian  |u Department of Mathematics, Nanchang University, 330031, Nanchang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Wang  |D Tao  |u Department of Mathematics, Nanchang University, 330031, Nanchang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/4(2015-04-01), 637-646  |x 1439-8516  |q 31:4<637  |1 2015  |2 31  |o 10114