| 题名: | On scrambled sets for chaotic functions |
| 作者: | Bruckner, A. M.;胡德軍;Hu, Thakyin |
| 贡献者: | 淡江大學數學學系 |
| 日期: | 1987-05 |
| 上传时间: | 2010-01-28 06:52:13 (UTC+8) |
| 出版者: | Providence: American Mathematical Society (AMS) |
| 摘要: | 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. |
| 關聯: | Transactions of the American Mathematical Society 301(1), pp.289-297 |
| DOI: | 10.1090/S0002-9947-1987-0879574-0 |
| 显示于类别: | [應用數學與數據科學學系] 期刊論文
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