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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence

http://hdl.handle.net/2237/00030580
http://hdl.handle.net/2237/00030580
c3f25179-4454-4d7f-a8b3-f7998757cc39
名前 / ファイル ライセンス アクション
Liberation1-20180215.pdf Liberation1-20180215 (249.6 kB)
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

WEKO 92821

en Ueda, Yoshimichi

Search repository
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
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