{"created":"2021-03-01T06:36:31.350896+00:00","id":28434,"links":{},"metadata":{"_buckets":{"deposit":"d167632d-575a-4faf-925f-18c94b4ce7df"},"_deposit":{"id":"28434","owners":[],"pid":{"revision_id":0,"type":"depid","value":"28434"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00028434","sets":["697:698:699"]},"author_link":["93050","93051","93052"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"02","bibliographicPageEnd":"273","bibliographicPageStart":"227","bibliographicVolumeNumber":"20","bibliographic_titles":[{"bibliographic_title":"International Journal of Mathematics"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Motivated by Voiculescu's liberation theory, we introduce the orbital free entropy χorb for non-commutative self-adjoint random variables (also for \"hyperfinite random multi-variables\"). Besides its basic properties, the relation of χorb with the usual free entropy χ is shown. Moreover, the dimension counterpart δ0,orb of χorb is discussed, and we obtain the relation between δ0,orb and the original free entropy dimension δ0 together with applications to δ0 itself.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1142/S0129167X09005261","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Electronic version of an article published as [International Journal of Mathematics. v.20, n.2, 2009, p.227-273] [http://doi.org/10.1142/S0129167X09005261] © [copyright World Scientific Publishing Company] [https://www.worldscientific.com/worldscinet/ijm]","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_61":{"attribute_name":"ISSN（print）","attribute_value_mlt":[{"subitem_source_identifier":"0129-167X","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"HIAI, FUMIO","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"93050","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"MIYAMOTO, TAKUHO","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"93051","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"UEDA, YOSHIMICHI","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"93052","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":"2019-08-28"}],"displaytype":"detail","filename":"0702745.pdf","filesize":[{"value":"482.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"0702745","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/28434/files/0702745.pdf"},"version_id":"bdfe3580-aa70-4666-8a84-7a477bd4df54"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Free probability","subitem_subject_scheme":"Other"},{"subitem_subject":"free entropy","subitem_subject_scheme":"Other"},{"subitem_subject":"free entropy dimension","subitem_subject_scheme":"Other"},{"subitem_subject":"mutual free information","subitem_subject_scheme":"Other"},{"subitem_subject":"non-commutative random variable","subitem_subject_scheme":"Other"},{"subitem_subject":"free unitary Brownian motion","subitem_subject_scheme":"Other"}]},"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":"ORBITAL APPROACH TO MICROSTATE FREE ENTROPY","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ORBITAL APPROACH TO MICROSTATE FREE ENTROPY","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2019-08-28"},"publish_date":"2019-08-28","publish_status":"0","recid":"28434","relation_version_is_last":true,"title":["ORBITAL APPROACH TO MICROSTATE FREE ENTROPY"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:21:18.966926+00:00"}