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 ...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.展开更多
基金supported by the National Natural Science Foundation of China(Nos.11261039,11661054)the Jiangxi Provincial Natural Science Foundation of China(No.20132BAB201009)the Visiting Scholar Special Funds of Development Program for Middle-aged and Young Teachers in Ordinary Undergraduate Colleges and Universities of Jiangxi Province
文摘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.
