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On the expected volume of the Wiener sausage
http://hdl.handle.net/2298/33221
http://hdl.handle.net/2298/33221d56c155e-e528-46a5-9391-e2ac64f0918b
名前 / ファイル | ライセンス | アクション |
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J.Math.Soc.Jpn62_1113-1136.pdf (226.9 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2015-10-06 | |||||
タイトル | ||||||
タイトル | On the expected volume of the Wiener sausage | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題 | Wiener sausage, power series, Laplace transform, Bessel process | |||||
資源タイプ | ||||||
資源タイプ | journal article | |||||
著者 |
濱名, 裕治
× 濱名, 裕治 |
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別言語の著者 |
濱名, 裕治
× 濱名, 裕治 |
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内容記述 | ||||||
内容記述 | We consider the expected volume of the Wiener sausage on the time interval [0, t] associated with a closed ball. Let L(t) be the expected volume minus the volume of the ball. We obtain that L(t) is asymptotically equal to a constant multiple of t^<1/2> as t tends to 0 and that it is represented as an absolutely convergent power series of t^<1/2> for any t > 0 in the odd dimensional cases. Morever, the explicit form of L(t) can be given in five and seven dimensional cases. | |||||
書誌情報 |
Journal of the Mathematical Society of Japan 巻 62, 号 4, p. 1113-1136, 発行年 2010-10 |
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ISSN | ||||||
収録物識別子 | 00255645 | |||||
書誌レコードID | ||||||
収録物識別子 | AA0070177X | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
関連識別子 | 10.2969/jmsj/06241113 | |||||
フォーマット | ||||||
内容記述 | application/pdf | |||||
形態 | ||||||
226873 bytes | ||||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
出版者 | ||||||
出版者 | 日本数学会 | |||||
資源タイプ | ||||||
内容記述 | 論文(Article) | |||||
資源タイプ・ローカル | ||||||
雑誌掲載論文 | ||||||
資源タイプ・NII | ||||||
Journal Article | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
01 | ||||||
URL | ||||||
内容記述 | http://dx.doi.org/10.2969/jmsj/06241113 | |||||
コメント | ||||||
【著者所属】熊本大学大学院自然科学研究科(理学系)数理科学 | ||||||
コメント | ||||||
Dedicated to Professor Yasunari Higuchi on his 60th birthday |