Spectral Analysis of Growing Graphs - Nobuaki Obata eBook
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Spectral Analysis of Growing Graphs

A Quantum Probability Point of View

Nobuaki Obata


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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.

About the book
Author
Nobuaki  Obata
Imprint
Springer
Collection
SpringerBriefs in Mathematical Physics
Publication date
2017-02-17
Pages
138 pages
Print ISBN
9789811035050
Language
English
Ebook informations
EAN PDF
9789811035067
Price
£59.99
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Copy count 1
Print count 13
File size 2509 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9789811035067
Price
£59.99
Read more
Copy count 1
Print count 13
File size 3133 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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Defaut-Illustration Nobuaki Obata

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