CHAOS FOR MIXING TRANSFORMATIONS

Citation:

Liao Gongfu.CHAOS FOR MIXING TRANSFORMATIONS[J].Chinese Annals of Mathematics B,1994,15(4):501~506
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Authors:

Liao Gongfu;

Foundation:

Project supported by the National Natural Science Foundation of China
Abstract: For a class of mixing transformations of a compact metric space it is proved that each chaotic subset is ``small'' but the possibility for any finite subset to display chaotic behavior is ``large''.

Keywords:

Compact metric space, Chaotic subset, Mixing transformation,Topological mixing map.

Classification:

54E35.
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