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Asymptotically One-Dimensional Diffusions on Scale-Irregular Gaskets
http://hdl.handle.net/2261/1371
http://hdl.handle.net/2261/137128975cea-591b-4495-9b7b-75c873a1bcad
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms040201.pdf (356.4 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Asymptotically One-Dimensional Diffusions on Scale-Irregular Gaskets | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Hattori, Tetsuya
× Hattori, Tetsuya |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | A new class of fractals, the \rgs, is defined, and the asymptotically one-dimensional diffusion processes are constructed on them. The class contains infinitely many fractals which lack exact self-similarity, and which also lack non-degenerate fixed points of renormalization maps (hence are not in the class of nested fractals). An essential step in the construction of diffusion is to prove the existence of appropriate time-scaling factors. For this purpose, a limit theorem for a discrete-time multi-type supercritical branching processes with singular and irregular (varying) environment, is developed. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 4, 号 2, p. 229-278, 発行日 1997 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1466347 | ||||||
| Mathmatical Subject Classification | ||||||
| 60J60(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 60J25(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 60J85(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 60J15(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1995-03-07 | ||||||
