| dc.contributor | 應數系 | - |
| dc.creator (作者) | 班榮超 | - |
| dc.creator (作者) | Ban, Jung-Chao | - |
| dc.creator (作者) | Cao, Yong-Luo | - |
| dc.creator (作者) | Hu, Hu-Yi | - |
| dc.date (日期) | 2010-01 | - |
| dc.date.accessioned | 22-Jun-2020 13:44:32 (UTC+8) | - |
| dc.date.available | 22-Jun-2020 13:44:32 (UTC+8) | - |
| dc.date.issued (上傳時間) | 22-Jun-2020 13:44:32 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/130209 | - |
| dc.description.abstract (摘要) | 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. | - |
| dc.format.extent | 301364 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Transactions of the American Mathematical Society, Vol.362, No.2, pp.727-751 | - |
| dc.title (題名) | The dimensions of a non-conformal repeller and an average conformal repeller | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1090/S0002-9947-09-04922-8 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1090/S0002-9947-09-04922-8 | - |
