{"_buckets": {"deposit": "36949591-a193-4def-b686-ea48243c80ca"}, "_deposit": {"created_by": 17, "id": "2001898", "owner": "17", "owners": [17], "owners_ext": {"displayname": "図書情報係", "username": "repository"}, "pid": {"revision_id": 0, "type": "depid", "value": "2001898"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:02001898", "sets": ["699"]}, "author_link": [], "item_1615768549627": {"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_1629683748249": {"attribute_name": "日付", "attribute_value_mlt": [{"subitem_date_issued_datetime": "2022-01-11", "subitem_date_issued_type": "Available"}]}, "item_9_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2021-04", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "541", "bibliographicPageStart": "493", "bibliographicVolumeNumber": "73", "bibliographic_titles": [{"bibliographic_title": "Canadian Journal of Mathematics", "bibliographic_titleLang": "en"}]}]}, "item_9_description_4": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "We investigate the concept of orbital free entropy from the viewpoint of the matrix liberation process. We will show that many basic questions around the definition of orbital free entropy are reduced to the question of full large deviation principle for the matrix liberation process. We will also obtain a large deviation upper bound for a certain family of random matrices that is essential to define the orbital free entropy. The resulting rate function is made up into a new approach to free mutual information.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_9_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Cambridge University Press", "subitem_publisher_language": "en"}]}, "item_9_relation_43": {"attribute_name": "関連情報", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.4153/S0008414X20000048", "subitem_relation_type_select": "DOI"}}]}, "item_9_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "This article has been published in a revised form in [Canadian Journal of Mathematics] [https://doi.org/10.4153/S0008414X20000048]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © 2021 Cambridge University Press.", "subitem_rights_language": "en"}]}, "item_9_source_id_7": {"attribute_name": "収録物識別子", "attribute_value_mlt": [{"subitem_source_identifier": "0008-414X", "subitem_source_identifier_type": "PISSN"}]}, "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": "Ueda, Yoshimichi", "creatorNameLang": "en"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "date": [{"dateType": "Available", "dateValue": "2022-01-11"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "liberation2v3.pdf", "filesize": [{"value": "308 KB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "application/pdf", "size": 308000.0, "url": {"objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/2001898/files/liberation2v3.pdf"}, "version_id": "4b88dc42-7af8-4921-b376-d0df35d602d6"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Random matrix", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Stochastic process", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Unitary Brownian motion", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Large deviation", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Large N limit", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Free probability", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Orbital free entropy", "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": "Matrix Liberation Process II: Relation to Orbital Free Entropy", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Matrix Liberation Process II: Relation to Orbital Free Entropy", "subitem_title_language": "en"}]}, "item_type_id": "40001", "owner": "17", "path": ["699"], "permalink_uri": "http://hdl.handle.net/2237/0002001898", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2022-01-11"}, "publish_date": "2022-01-11", "publish_status": "0", "recid": "2001898", "relation": {}, "relation_version_is_last": true, "title": ["Matrix Liberation Process II: Relation to Orbital Free Entropy"], "weko_shared_id": -1}