Quantum probability and spectral analysis of graphs

Bibliographic Information

Quantum probability and spectral analysis of graphs

Akihito Hora, Nobuaki Obata ; with a foreword by professor Luigi Accardi

(Theoretical and mathematical physics)

Springer, c2007

Available at  / 23 libraries

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Note

"With 48 figures"

Includs bibliographical refrence (p. [351]-361) and index

Description and Table of Contents

Description

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.

Table of Contents

Quantum Probability and Orthogonal Polynomials.- Adjacency Matrices.- Distance-Regular Graphs.- Homogeneous Trees.- Hamming Graphs.- Johnson Graphs.- Regular Graphs.- Comb Graphs and Star Graphs.- The Symmetric Group and Young Diagrams.- The Limit Shape of Young Diagrams.- Central Limit Theorem for the Plancherel Measures of the Symmetric Groups.- Deformation of Kerov's Central Limit Theorem.

by "Nielsen BookData"

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Details

  • NCID
    BA81866399
  • ISBN
    • 9783540488620
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xviii, 371 p.
  • Size
    24 cm
  • Parent Bibliography ID
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