Spectral Analysis of Growing Graphs : A Quantum Probability Point of View
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The work Spectral Analysis of Growing Graphs : A Quantum Probability Point of View represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Spectral Analysis of Growing Graphs : A Quantum Probability Point of View
Resource Information
The work Spectral Analysis of Growing Graphs : A Quantum Probability Point of View represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Spectral Analysis of Growing Graphs : A Quantum Probability Point of View
 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
 Dewey number
 530.15
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 UpaZZ7EIiLY
 Image bit depth
 0
 LC call number

 QA401425
 QC19.220.85
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 SpringerBriefs in Mathematical Physics,
 Series volume
 20
Context
Context of Spectral Analysis of Growing Graphs : A Quantum Probability Point of ViewWork of
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