Publications-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

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 2004-07
上傳時間 22-Jun-2020 13:44:19 (UTC+8)
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
dc.contributor 應數系-
dc.creator (作者) 班榮超-
dc.creator (作者) Ban, Jung-Chao-
dc.creator (作者) Lin, Song-Sun-
dc.date (日期) 2004-07-
dc.date.accessioned 22-Jun-2020 13:44:19 (UTC+8)-
dc.date.available 22-Jun-2020 13:44:19 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2020 13:44:19 (UTC+8)-
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=149122-
dc.description.abstract (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.-
dc.format.extent 127581 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Journal of Dynamics and Differential equations, Vol.16, No.3, pp.833-846-
dc.subject (關鍵詞) Upper (lower) box dimension ; Hausdoff dimension ; devil’s staircase ; Pesin’s formula.-
dc.title (題名) The devil’s staircase dimensions and measure-theoretical entropy of maps with horizontal gap-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1007/s10884-004-6697-3-
dc.doi.uri (DOI) http://dx.doi.org/10.1007/s10884-004-6697-3-