Spectral Analysis of Growing Graphs

A Quantum Probability Point of View

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Statistics
Cover of the book Spectral Analysis of Growing Graphs by Nobuaki Obata, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nobuaki Obata ISBN: 9789811035067
Publisher: Springer Singapore Publication: February 17, 2017
Imprint: Springer Language: English
Author: Nobuaki Obata
ISBN: 9789811035067
Publisher: Springer Singapore
Publication: February 17, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book New Supply Side Economics by Nobuaki Obata
Cover of the book Structuring the Thesis by Nobuaki Obata
Cover of the book Wearable and Wireless Systems for Healthcare I by Nobuaki Obata
Cover of the book Economics of Urban Externalities by Nobuaki Obata
Cover of the book Robots and Art by Nobuaki Obata
Cover of the book Climate Change Impacts by Nobuaki Obata
Cover of the book Mathematical and Statistical Applications in Life Sciences and Engineering by Nobuaki Obata
Cover of the book Implementing Communities of Practice in Higher Education by Nobuaki Obata
Cover of the book Arbitration in China by Nobuaki Obata
Cover of the book The Reconstruction of Modality in Chinese-English Government Press Conference Interpreting by Nobuaki Obata
Cover of the book Wireless Indoor Localization by Nobuaki Obata
Cover of the book Discrete Optimization in Architecture by Nobuaki Obata
Cover of the book Resurgence of Nuclear Power by Nobuaki Obata
Cover of the book InCIEC 2013 by Nobuaki Obata
Cover of the book Human and Automatic Speaker Recognition over Telecommunication Channels by Nobuaki Obata
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy