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| Some Weak Specification Properties and Strongly Mixing |
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Citation： |
Qi YAN,Jiandong YIN,Tao WANG.Some Weak Specification Properties and Strongly Mixing[J].Chinese Annals of Mathematics B,2017,38(5):1111~1118 |
| Page view： 2742
Net amount： 1194 |
Authors： |
Qi YAN; Jiandong YIN;Tao WANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11261039, 11661054), the Jiangxi
Provincial Natural Science Foundation of China (No.20132BAB201009)
and the Visiting Scholar Special Funds of Development Program for
Middle-aged and Young Teachers in Ordinary Undergraduate Colleges
and Universities of Jiangxi Province. |
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| Abstract： |
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. |
Keywords： |
Weak specification property, Mixing property, Symbolic dynamics |
Classification： |
37D45, 37B40 |
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