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    Title: On scrambled sets for chaotic functions
    Authors: Bruckner, A. M.;胡德軍;Hu, Thakyin
    Contributors: 淡江大學數學學系
    Date: 1987-05
    Issue Date: 2010-01-28 06:52:13 (UTC+8)
    Publisher: Providence: American Mathematical Society (AMS)
    Abstract: Some recent research has raised questions concerning the possible sizes of scrambled sets for chaotic functions. We answer these questions by showing that a scrambled set can have full measure, but cannot be residual although a scrambled set can be second category in every interval. We also indicate relationships that exist between chaotic functions and transitive functions.
    Relation: Transactions of the American Mathematical Society 301(1), pp.289-297
    DOI: 10.1090/S0002-9947-1987-0879574-0
    Appears in Collections:[數學學系暨研究所] 期刊論文

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