{"created":"2021-03-01T06:59:48.484475+00:00","id":40216,"links":{},"metadata":{"_buckets":{"deposit":"6cf47ccf-7e70-484a-8c9d-6688d273206a"},"_deposit":{"id":"40216","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40216"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040216","sets":["312:6865:7007:7015","9:504:6868:7009:7016"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"70","bibliographicPageStart":"43","bibliographicVolumeNumber":"8","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let $ {\\bf T}^d = {\\bf R}^d / {\\bf Z}^d $, and consider the family of probability measures $ \\{ P_x \\}_{x \\in {\\bf T}^d} $ on $ C([0, \\infty); {\\bf T}^d) $ given by the infinitesimal generator $ L_0 \\equiv \\frac{1}{2} Δ + b \\cdot \\\nabla $, where $b: {\\bf T}^d \\to {\\bf R}^d $ is a continuous function. Let $ Φ $ be a mapping $ {\\cal M} ({\\bf T}^d) \\to {\\bf R} $. Under a nuclearity assumption on the second Frechet differential of $ Φ $, an asymptotic evaluation of $ Z_T^{x, y} \\equiv E^{P_x} \\left[ \\exp \\left( T Φ (\\frac{1}{T} \\int_0^T δ_{X_t} dt)\\right) \\Big| X_T = y \\right]$, up to a factor $ (1 + o(1)) $, has been gotten in Bolthausen-Deuschel-Tamura \\cite{B-D-T}. In this paper, we show that the same asymptotic evaluation holds without the nuclearity assumption.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR1818905"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"60F10(MSC2000)"},{"subitem_text_value":"60J60(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2000-01-24"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kusuoka, Shigeo"}],"nameIdentifiers":[{"nameIdentifier":"138812","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms080104.pdf","filesize":[{"value":"251.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms080104.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40216/files/jms080104.pdf"},"version_id":"a574bee6-70c6-4ef9-ace4-d93029639f6e"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Laplace Approximations for Diffusion Processes on Torus: Nondegenerate Case","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Laplace Approximations for Diffusion Processes on Torus: Nondegenerate Case"}]},"item_type_id":"4","owner":"1","path":["7015","7016"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40216","relation_version_is_last":true,"title":["Laplace Approximations for Diffusion Processes on Torus: Nondegenerate Case"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:20.869475+00:00"}