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The Resource Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource)

Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource)

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
by Nobuaki Obata
Creator
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
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Obata, Nobuaki
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • SpringerBriefs in Mathematical Physics,
Series volume
20
http://library.link/vocab/subjectName
  • Mathematics
  • Probabilities
  • Graph theory
  • Mathematical physics
Label
Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-981-10-3506-7
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Control code
978-981-10-3506-7
Dimensions
unknown
Extent
1 online resource (VIII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811035067
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-3506-7
Other physical details
22 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)973325286
Label
Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-981-10-3506-7
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Control code
978-981-10-3506-7
Dimensions
unknown
Extent
1 online resource (VIII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811035067
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-3506-7
Other physical details
22 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)973325286

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