<図書>
The semicircle law, free random variables and entropy
責任表示 | Fumio Hiai, Dénes Petz |
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シリーズ | Mathematical surveys and monographs ; v. 77 |
データ種別 | 図書 |
出版情報 | Providence, R.I. : American Mathematical Society , c2000 |
本文言語 | 英語 |
大きさ | x, 376 p. ; 26 cm |
概要 | Basing their work on the recent discoveries of Dan Voiculescu, the authors of this volume focus on the role of entropy and random matrix models. Chapters address the connection between the concepts o... probability theory and linear operators in Hilbert spaces; the fundamental free relation; the basic random matrix models and the limit of their eigenvalue distribution; entropy; Voiculescu's multivariate free entropy, discussed in the setting of operator algebras; and free group factors, with ideas on applications to operator algebras. The authors attempt to make the material as self-contained as possible. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | HIAI/10/2 | 2000 |
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023212005004926 |
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書誌詳細
一般注記 | Includes bibliographyi (p. 357-369) and index |
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著者標目 | *日合, 文雄(1948-) <ヒアイ, フミオ> Petz, Dénes |
件 名 | LCSH:Free probability theory LCSH:Random matrices LCSH:Entropy |
分 類 | LCC:QA326 DC21:512/.55 |
書誌ID | 1001239924 |
ISBN | 0821820818 |
NCID | BA46277957 |
巻冊次 | ISBN:0821820818 pbk ; ISBN:0821841351 |
登録日 | 2009.09.18 |
更新日 | 2009.11.02 |