{"created":"2021-03-01T06:36:28.226209+00:00","id":28387,"links":{},"metadata":{"_buckets":{"deposit":"1fbd7659-61ba-4130-9096-7eba12ab1026"},"_deposit":{"id":"28387","owners":[],"pid":{"revision_id":0,"type":"depid","value":"28387"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00028387"},"item_10_biblio_info_6":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"847","bibliographicPageStart":"806","bibliographicVolumeNumber":"32","bibliographic_titles":[{"bibliographic_title":"Journal of Theoretical Probability"}]}]},"item_10_description_4":{"attribute_name":"\u6284\u9332","attribute_value_mlt":[{"subitem_description":"We introduce the concept of matrix liberation process, a random matrix counterpart of the liberation process in free probability, and prove a large deviation upper bound for its empirical distribution and several properties on its rate function. As a simple consequence, we obtain the almost sure convergence of the empirical distribution of the matrix liberation process to that of the corresponding liberation process as continuous processes in the large N limit.","subitem_description_type":"Abstract"}]},"item_10_description_5":{"attribute_name":"\u5185\u5bb9\u8a18\u8ff0","attribute_value_mlt":[{"subitem_description":"\u30d5\u30a1\u30a4\u30eb\u516c\u958b\uff1a2020/06/01","subitem_description_type":"Other"}]},"item_10_publisher_32":{"attribute_name":"\u51fa\u7248\u8005","attribute_value_mlt":[{"subitem_publisher":"Springer"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s10959-018-0819-z","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"\u6a29\u5229","attribute_value_mlt":[{"subitem_rights":"\u201cThis is a post-peer-review, pre-copyedit version of an article published in [Journal of Theoretical Probability]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10959-018-0819-z\u201d."}]},"item_10_select_15":{"attribute_name":"\u8457\u8005\u7248\u30d5\u30e9\u30b0","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_61":{"attribute_name":"ISSN\uff08print\uff09","attribute_value_mlt":[{"subitem_source_identifier":"0894-9840","subitem_source_identifier_type":"ISSN"}]},"item_10_source_id_62":{"attribute_name":"ISSN\uff08Online\uff09","attribute_value_mlt":[{"subitem_source_identifier":"1572-9230","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ueda, Yoshimichi"}],"nameIdentifiers":[{"nameIdentifier":"92821","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":"2020-06-01"}],"displaytype":"detail","filename":"Liberation1-20180215.pdf","filesize":[{"value":"249.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Liberation1-20180215","url":"https://nagoya.repo.nii.ac.jp/record/28387/files/Liberation1-20180215.pdf"},"version_id":"df1f9961-5292-4e49-9949-dc8f3657a235"}]},"item_keyword":{"attribute_name":"\u30ad\u30fc\u30ef\u30fc\u30c9","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"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence"}]},"item_type_id":"10","owner":"1","path":["697/698/699"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","attribute_value":"2019-08-08"},"publish_date":"2019-08-08","publish_status":"0","recid":"28387","relation_version_is_last":true,"title":["Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2021-03-01T10:04:03.387066+00:00"}