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The Resource Spectral analysis of growing graphs : a quantum probability point of view, Nobuaki Obata

Spectral analysis of growing graphs : a quantum probability point of view, Nobuaki Obata

Label
Spectral analysis of growing graphs : a quantum probability point of view
Title
Spectral analysis of growing graphs
Title remainder
a quantum probability point of view
Statement of responsibility
Nobuaki Obata
Creator
Author
Subject
Language
eng
Summary
This book is designed as a concise introduction to the recent achievements on spectral analysis of graphs or networks from the point of view of quantum (or non-commutative) probability theory. The main topics are spectral distributions of the adjacency matrices of finite or infinite graphs and their limit distributions for growing graphs. The main vehicle is quantum probability, an algebraic extension of the traditional probability theory, which provides a new framework for the analysis of adjacency matrices revealing their non-commutative nature. For example, the method of quantum decomposition makes it possible to study spectral distributions by means of interacting Fock spaces or equivalently by orthogonal polynomials. Various concepts of independence in quantum probability and corresponding central limit theorems are used for the asymptotic study of spectral distributions for product graphs. This book is written for researchers, teachers, and students interested in graph spectra, their (asymptotic) spectral distributions, and various ideas and methods on the basis of quantum probability. It is also useful for a quick introduction to quantum probability and for an analytic basis of orthogonal polynomials
Member of
Cataloging source
N$T
http://library.link/vocab/creatorDate
1957-
http://library.link/vocab/creatorName
Obata, Nobuaki
Dewey number
515/.7222
Index
index present
LC call number
QA320
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematical physics
Series volume
volume 20
http://library.link/vocab/subjectName
  • Spectral theory (Mathematics)
  • Graph theory
Label
Spectral analysis of growing graphs : a quantum probability point of view, Nobuaki Obata
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Graphs and Matrices -- 2. Spectra of Finite Graphs -- 3. Spectral Distributions of Graphs -- 4. Orthogonal Polynomials and Fock Spaces -- 5. Analytic Theory of Moments -- 6. Method of Quantum Decomposition -- 7. Graph Products and Asymptotics -- References -- Index
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9789811035050
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
ocn973325286
Label
Spectral analysis of growing graphs : a quantum probability point of view, Nobuaki Obata
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Graphs and Matrices -- 2. Spectra of Finite Graphs -- 3. Spectral Distributions of Graphs -- 4. Orthogonal Polynomials and Fock Spaces -- 5. Analytic Theory of Moments -- 6. Method of Quantum Decomposition -- 7. Graph Products and Asymptotics -- References -- Index
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9789811035050
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
ocn973325286

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