{"created":"2021-03-01T06:59:52.622136+00:00","id":40277,"links":{},"metadata":{"_buckets":{"deposit":"a0ee13f4-91c1-4d19-9a0e-9e0e1c6595a6"},"_deposit":{"id":"40277","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40277"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040277","sets":["312:6865:7037:7043","9:504:6868:7039:7044"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1998","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"332","bibliographicPageStart":"299","bibliographicVolumeNumber":"5","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 $(S_n, n\\ge 1)$ be a random walk satisfying $ES_1>0$ and $h$ be a Laplace transform of a non-negative finite measure on $(0, \\infty)$. Under additional conditions of $S_1$ and $h$, we consider the asymptotic behavior of $Eh(\\sum_{i=1}^ne^{S_i})$. In particular we determine the limiting coefficient for asymptotic of this quantity in terms of the unique solution of the certain functional equation with boundary conditions. This solution corresponds to the Green function of $2^{-1}e^{-x}\\triangle$ on {\\bf R}. We apply our result to random processes in random media. Moreover we obtain the random walk analogue of Kotani's limit theorem for Brownian motion.","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":"MR1633937"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"60J15(MSC1991)"},{"subitem_text_value":"60G50(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1997-07-25"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hirano, Katsuhiro"}],"nameIdentifiers":[{"nameIdentifier":"138874","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":"jms050204.pdf","filesize":[{"value":"242.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms050204.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40277/files/jms050204.pdf"},"version_id":"d1b4e073-2583-42d5-8f9a-2eb37e7119c8"}]},"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":"Determination of the Limiting Coefficient for Exponential Functionals of Random Walks with Positive Drift","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Determination of the Limiting Coefficient for Exponential Functionals of Random Walks with Positive Drift"}]},"item_type_id":"4","owner":"1","path":["7043","7044"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40277","relation_version_is_last":true,"title":["Determination of the Limiting Coefficient for Exponential Functionals of Random Walks with Positive Drift"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:30.790766+00:00"}