| 弱混合的一个等价条件 |
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| 引用本文： | 廖公夫,刘恒. 弱混合的一个等价条件[J]. 东北数学, 2007, 23(5): 386-390 |
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| 作者姓名： | 廖公夫 刘恒 |
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| 作者单位： | [1]Institute of Mathematics, Jilin Normal University, Siping, 136000 [2]Department of Mathematics, Jilin University, Changchun, 130012 [3]Department of Mathematics, Dalian Nationalities University, Dalian, 116600 |
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| 基金项目： | 国家自然科学基金 , 国家自然科学基金 |
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| 摘 要： | Let X be a compact metric space containing at least two points and let f ： X → X be continuous. In this paper, we introduce the notion of totally maximum sensitive （TMS, for short） and prove that f is weakly mixing if and only if it is TMS, and if X = [0, 1], then f is weakly mixing if and only if it is 2-maximum sensitive.
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| 关 键 词： | 弱混合 等价条件 一般拓扑 数学 |
| 文章编号： | 1000-1778（2007）05-0386-05 |
| 收稿时间： | 2006-04-20 |
An Equivalent Condition of Weak Mixing |
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| LIAO Gong-fu,LIU Heng. An Equivalent Condition of Weak Mixing[J]. Northeastern Mathematical Journal, 2007, 23(5): 386-390 |
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| Authors: | LIAO Gong-fu LIU Heng |
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| Affiliation: | 1.Institute of Mathematics, Jilin Normal University, Siping, 136000; 2.Department of Mathematics, Jilin University, Changchun, 130012; 3.Department of Mathematics, Dalian Nationalities University, Dalian, 116600 |
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| Abstract: | Let X be a compact metric space containing at least two points and let f: X → X be continuous. In this paper, we introduce the notion of totally maximum sensitive (TMS, for short) and prove that f is weakly mixing if and only if it is TMS, and if X = [0, 1], then f is weakly mixing if and only if it is 2-maximum sensitive. |
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| Keywords: | weak mixing sensitive dependence totally maximum sensitivity |
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