Quantum probability and spectral analysis of graphs

＜図書＞
Quantum probability and spectral analysis of graphs

責任表示	Akihito Hora, Nobuaki Obata ; with a foreword by professor Luigi Accardi
シリーズ	Theoretical and mathematical physics
データ種別	図書
出版情報	Berlin : Springer , c2007
本文言語	英語
大きさ	xviii, 371 p. : ill. ; 24 cm
概要	This is the first book to comprehensively cover the quantum probabilistic approach to spectral analysis of graphs. This approach has been developed by the authors and has become an interesting resear...h area in applied mathematics and physics. The book can be used as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, which have been recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding. Among the topics discussed along the way are: quantum probability and orthogonal polynomials; asymptotic spectral theory (quantum central limit theorems) for adjacency matrices; the method of quantum decomposition; notions of independence and structure of graphs; and asymptotic representation theory of the symmetric groups. 続きを見る

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
		理系図3F 数理独自	HORA/10/1	2007		023212007000956		予約・取寄			予約・取寄

一般注記	"With 48 figures" Includs bibliographical refrence (p. [351]-361) and index
著者標目	Hora, Akihito 尾畑, 伸明(1957-) <オバタ, ノブアキ>
書誌ID	1001241216
ISBN	9783540488620
NCID	BA81866399
巻冊次	ISBN:9783540488620
登録日	2009.09.18
更新日	2009.11.02