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)
Resource Information
The item Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 noncommutative) 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 noncommutative 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.
 Language
 eng
 Extent
 1 online resource (VIII, 138 pages)
 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
 Isbn
 9789811035067
 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
 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 noncommutative) 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 noncommutative 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.
 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)
 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
 9789811035067
 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, noncommercial 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
 10.1007/9789811035067
 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)
 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
 9789811035067
 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, noncommercial 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
 10.1007/9789811035067
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/SpectralAnalysisofGrowingGraphsAQuantum/4O4vZZSLw_o/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/SpectralAnalysisofGrowingGraphsAQuantum/4O4vZZSLw_o/">Spectral Analysis of Growing Graphs : A Quantum Probability Point of View, by Nobuaki Obata, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>