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 Sydney Jones Library, University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
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 Sydney Jones Library, University of Liverpool. 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
- 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 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
- Cataloging source
- N$T
- Dewey number
- 515/.7222
- Index
- index present
- LC call number
- QA320
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- SpringerBriefs in mathematical physics
- Series volume
- volume 20
Context
Context of Spectral analysis of growing graphs : a quantum probability point of viewWork of
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/resource/YvRlyaAP57w/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/resource/YvRlyaAP57w/">Spectral analysis of growing graphs : a quantum probability point of view</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>
