WEKO3
アイテム
{"_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", "sets": ["699"]}, "author_link": ["92821"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "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": "抄録", "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_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_description_5": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "ファイル公開:2020/06/01", "subitem_description_language": "ja", "subitem_description_type": "Other"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Springer", "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/10.1007/s10959-018-0819-z", "subitem_relation_type_select": "DOI"}}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "“This 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”.", "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": "0894-9840", "subitem_source_identifier_type": "PISSN"}]}, "item_10_source_id_62": {"attribute_name": "ISSN(Online)", "attribute_value_mlt": [{"subitem_source_identifier": "1572-9230", "subitem_source_identifier_type": "EISSN"}]}, "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": "Ueda, Yoshimichi", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "92821", "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": "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_note", "mimetype": "application/pdf", "size": 249600.0, "url": {"label": "Liberation1-20180215", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/28387/files/Liberation1-20180215.pdf"}, "version_id": "df1f9961-5292-4e49-9949-dc8f3657a235"}]}, "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"}]}, "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 I: Large Deviation Upper Bound and Almost Sure Convergence", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["699"], "permalink_uri": "http://hdl.handle.net/2237/00030580", "pubdate": {"attribute_name": "PubDate", "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": -1}
Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence
http://hdl.handle.net/2237/00030580
http://hdl.handle.net/2237/00030580c3f25179-4454-4d7f-a8b3-f7998757cc39
名前 / ファイル | ライセンス | アクション |
---|---|---|
![]() |
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2019-08-08 | |||||
タイトル | ||||||
タイトル | Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence | |||||
言語 | en | |||||
著者 |
Ueda, Yoshimichi
× Ueda, Yoshimichi |
|||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | “This 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”. | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Random matrix | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Stochastic process | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Unitary Brownian motion | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Large deviation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Large N limit | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Free probability | |||||
抄録 | ||||||
内容記述 | 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. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2020/06/01 | |||||
言語 | ja | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Springer | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s10959-018-0819-z | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0894-9840 | |||||
ISSN(Online) | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1572-9230 | |||||
書誌情報 |
Journal of Theoretical Probability 巻 32, 号 2, p. 806-847, 発行日 2019-06 |
|||||
著者版フラグ | ||||||
値 | author |