{"_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"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "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} \u0394 + b \\cdot \\\nabla $, where $b: {\\bf T}^d \\to {\\bf R}^d $ is a continuous function. Let $ \u03a6 $ be a mapping $ {\\cal M} ({\\bf T}^d) \\to {\\bf R} $. Under a nuclearity assumption on the second Frechet differential of $ \u03a6 $, an asymptotic evaluation of $ Z_T^{x, y} \\equiv E^{P_x} \\left[ \\exp \\left( T \u03a6 (\\frac{1}{T} \\int_0^T \u03b4_{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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "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": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2000-01-24"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Kusuoka, Shigeo"}], "nameIdentifiers": [{"nameIdentifier": "138812", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-27"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms080104.pdf", "filesize": [{"value": "251.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 251200.0, "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Laplace Approximations for Diffusion Processes on Torus: Nondegenerate Case"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/7007/7015", "9/504/6868/7009/7016"], "permalink_uri": "http://hdl.handle.net/2261/1197", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40216", "relation": {}, "relation_version_is_last": true, "title": ["Laplace Approximations for Diffusion Processes on Torus: Nondegenerate Case"], "weko_shared_id": null}