政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/130209

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 109952/140891 (78%)
Visitors : 46241376 Online Users : 623

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/130209

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/130209

Title:	The dimensions of a non-conformal repeller and an average conformal repeller
Authors:	班榮超 Ban, Jung-Chao Cao, Yong-Luo Hu, Hu-Yi
Contributors:	應數系
Date:	2010-01
Issue Date:	2020-06-22 13:44:32 (UTC+8)
Abstract:	In this paper, using thermodynamic formalism for the sub-additive potential, upper bounds for the Hausdorff dimension and the box dimension of non-conformal repellers are obtained as the sub-additive Bowen equation. The map f only needs to be C 1 , without additional conditions. We also prove that all the upper bounds for the Hausdorff dimension obtained in earlier papers coincide. This unifies their results. Furthermore we define an average conformal repeller and prove that the dimension of an average conformal repeller equals the unique root of the sub-additive Bowen equation.
Relation:	Transactions of the American Mathematical Society, Vol.362, No.2, pp.727-751
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1090/S0002-9947-09-04922-8
DOI:	10.1090/S0002-9947-09-04922-8
Appears in Collections:	[應用數學系] 期刊論文

Files in This Item:

File	Description	Size	Format
122.pdf		294Kb	Adobe PDF2	122	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...