{"created":"2021-03-01T07:34:21.324469+00:00","id":53631,"links":{},"metadata":{"_buckets":{"deposit":"726f2748-2e12-4b03-aaa2-52137ea47bac"},"_deposit":{"id":"53631","owners":[],"pid":{"revision_id":0,"type":"depid","value":"53631"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00053631","sets":["152:508","3:62:5600:1654"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-08","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"20","bibliographicPageStart":"1","bibliographicVolumeNumber":"82","bibliographic_titles":[{},{"bibliographic_title":"Reports on Mathematical Physics","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The method of Heun's differential equation is demonstrated in studying a fractional linear birth–death process (FLBDP) with long memory described by a master equation. The exact analytic solution of the generating function for the probability density is obtained on the basis of Heun's differential equation. The multi-fractal nature of FLBDP associated with long memory is demonstrated in conjunction with the present simple birth–death process. Finally, the subtle multi-fractal nature of critical fluctuations under long memory is also displayed in the present FLBDP. Further, discussions are also given on the features of transient fluctuation in systems with long memory.","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/S0034-4877(18)30062-4","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00344877","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00812770","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"金野, 秀敏"},{"creatorName":"コンノ, ヒデトシ","creatorNameLang":"ja-Kana"},{"creatorName":"KONNO, Hidetoshi","creatorNameLang":"en"}],"nameIdentifiers":[{},{}]},{"creatorNames":[{"creatorName":"Pázsit, Imre","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-09-01"}],"displaytype":"detail","filename":"RMP_82-1.pdf","filesize":[{"value":"412.5 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"RMP_82-1","url":"https://tsukuba.repo.nii.ac.jp/record/53631/files/RMP_82-1.pdf"},"version_id":"5aef15ed-e895-4adb-9839-5f0634b3d11a"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Fractional Linear Birth-Death Stochastic Process—An Application of Heun's Differential Equation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Fractional Linear Birth-Death Stochastic Process—An Application of Heun's Differential Equation","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["508","1654"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-12-03"},"publish_date":"2019-12-03","publish_status":"0","recid":"53631","relation_version_is_last":true,"title":["Fractional Linear Birth-Death Stochastic Process—An Application of Heun's Differential Equation"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:27:37.537047+00:00"}