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Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics)

Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics)

by Akihito Hora (Author), Akihito Hora (Author), Nobuaki Obata (Contributor), L. Accardi (Foreword)

  • New

    Paperback 2010

    $115.28
Synopsis

This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

$115.28

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Quantity

10 in stock

More Information

Format: Paperback
 Pages: 392
 Edition: Softcover reprint of hardcover 1st ed. 2007
 Publisher: Springer
Published: 22 Nov 2010
ISBN 10: 364208026X
ISBN 13: 9783642080265

Media Reviews

From the reviews:

It is a very accessible introduction for the non expert to a few rapidly evolving areas of mathematics such as spectral analysis of graphs ... . this monograph seems to be the first publication providing a synthesis of a very vast mathematical literature in these areas by giving to the reader a concise and self contained panorama of existing results ... . this book is important to the quantum probability community and emphasizes well many new applications of quantum probability to other areas of mathematics. (Benoit Collins, Zentralblatt MATH, Vol. 1141, 2008)

Author Bio
Quantum Probability and Orthogonal Polynomials.- Adjacency Matrix.- Distance-Regular Graph.- Homogeneous Tree.- Hamming Graph.- Johnson Graph.- Regular Graph.- Comb Graph and Star Graph.- Symmetric Group and Young Diagram.- Limit Shape of Young Diagrams.- Central Limit Theorem for the Plancherel Measure of the Symmetric Group.- Deformation of Kerov's Central Limit Theorem.- References.- Index.