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Markov Property of Kusuoka-Zhou's Dirichlet Forms on Self-Similar Sets
http://hdl.handle.net/2261/1229
http://hdl.handle.net/2261/1229b9c7c42e-c164-4525-8a54-eadd1be8e3cf
名前 / ファイル | ライセンス | アクション |
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jms070103.pdf (93.3 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 | Markov Property of Kusuoka-Zhou's Dirichlet Forms on Self-Similar Sets | |||||
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 |
Kigami, Jun
× Kigami, Jun |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The main purpose of this note is to fill a gap in Kusuoka-Zhou's construction of self-similar Dirichlet forms on self- similar sets. Unfortunately, it is not quite clear whether or not the self-similar closed form $\E$ obtained in the proof of Theorem 6.9 of [KZ] satisfies the Markov property. We will use a kind of fixed point theorem of order preserving additive maps on a cone to prove existence of a self-similar closed form with the Markov property. The fixed point theorem will be introduced in \S 1. It is also applicable to other problems, for example, the existence problem of a harmonic structure on a p.c.f. self-similar set. In \S 2, we will apply the fixed point theorem to show existence of self-similar Dirichlet forms on self-similar sets. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 7, 号 1, p. 27-33, 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 | ||||||
MR1749979 | ||||||
Mathmatical Subject Classification | ||||||
60J45(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
31C25(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
28A80(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1999-06-17 |