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Exact Hausdorff Dimension of Self-avoiding Processes on the Multi-dimensional Sierpinski Gasket
http://hdl.handle.net/2261/1227
http://hdl.handle.net/2261/122742d10458-f05a-4ee8-ac77-0d38f65f0329
名前 / ファイル | ライセンス | アクション |
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jms070105.pdf (274.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Exact Hausdorff Dimension of Self-avoiding Processes on the Multi-dimensional Sierpinski Gasket | |||||
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, Kumiko
× Hattori, Kumiko |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We determine the `exact Hausdorff dimension' for a class of multi-type random constructions. As an application, we consider a model of self-avoiding walk called the `branching model' on the multi-dimensional Sierpinski gasket. We take its continuum limit and determine the exact Hausdorff dimension of the path of the limit process. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 7, 号 1, p. 57-98, 発行日 2000 |
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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 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1749981 | ||||||
Mathmatical Subject Classification | ||||||
28A70(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
28A80(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
60B05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
60G17(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1999-02-23 |