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https://ah.lib.nccu.edu.tw/handle/140.119/130208| 題名: | The devil’s staircase dimensions and measure-theoretical entropy of maps with horizontal gap | 作者: | 班榮超 Ban, Jung-Chao Lin, Song-Sun |
貢獻者: | 應數系 | 關鍵詞: | Upper (lower) box dimension ; Hausdoff dimension ; devil’s staircase ; Pesin’s formula. | 日期: | Jul-2004 | 上傳時間: | 22-Jun-2020 | 摘要: | This work elucidates the measure-theoretical entropy and dimensions of a unimodal map with a horizontal gap. The measure-theoretical entropy and dimensions of the Ft (which is defined later) are shown to form a devil’s staircase structure with respect to the gap size t. Pesin’s formula for gap maps is also considered. | 關聯: | Journal of Dynamics and Differential equations, Vol.16, No.3, pp.833-846 | 資料類型: | article | DOI: | http://dx.doi.org/10.1007/s10884-004-6697-3 |
| Appears in Collections: | 期刊論文 |
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