THE EXPECTED VOLUME AND SURFACE AREA OF THE WIENER SAUSAGE IN ODD DIMENSIONS

このアイテムのアクセス数:35件（2021-01-24 13:08 集計）

このアイテムへのリンクには次のURLをご利用ください:https://doi.org/10.18910/23422

このアイテムへのリンクには次のURLをご利用ください:http://hdl.handle.net/11094/23422

ファイル	フォーマット	サイズ	閲覧回数	説明
ojm49_04_0853	pdf	249 KB	67

タイトル	THE EXPECTED VOLUME AND SURFACE AREA OF THE WIENER SAUSAGE IN ODD DIMENSIONS
著者	Hamana, Yuji Hamana, Yuji
抄録	We consider the Wiener sausage up to time t associated with a closed ball. A formula for the expected volume of the Wiener sausage is obtained in odd dimensions. In these cases, we also find that the formula leads to the asymptotic expansion for large t and each coefficient is represented by zeros of a modified Bessel function of the second kind. Moreover we obtain a formula for the expected surface area of the Wiener sausage.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	4
開始ページ	853
終了ページ	868
刊行年月	2012-12
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23422
言語	英語
DOI	info:doi/10.18910/23422
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 49, Number 4　(2012-12）

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.49(4) P.853-P.868
DC.title	THE EXPECTED VOLUME AND SURFACE AREA OF THE WIENER SAUSAGE IN ODD DIMENSIONS
DC.creator	Hamana, Yuji
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-12
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23422
DCTERMS.abstract	We consider the Wiener sausage up to time t associated with a closed ball. A formula for the expected volume of the Wiener sausage is obtained in odd dimensions. In these cases, we also find that the formula leads to the asymptotic expansion for large t and each coefficient is represented by zeros of a modified Bessel function of the second kind. Moreover we obtain a formula for the expected surface area of the Wiener sausage.
DC.identifier	info:doi/10.18910/23422
citation_title	THE EXPECTED VOLUME AND SURFACE AREA OF THE WIENER SAUSAGE IN ODD DIMENSIONS
citation_author	Hamana, Yuji
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	853
citation_lastpage	868
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23422
citation_doi	info:doi/10.18910/23422