{"_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", "download_preview_message": "", "file_order": 0, "filename": "Liberation1-20180215.pdf", "filesize": [{"value": "249.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 249600.0, "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"], "permalink_uri": "http://hdl.handle.net/2237/00030580", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2019-08-08"}, "publish_date": "2019-08-08", "publish_status": "0", "recid": "28387", "relation": {}, "relation_version_is_last": true, "title": ["Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence"], "weko_shared_id": null}