| 书目名称 | Spectral Analysis of Growing Graphs | | 副标题 | A Quantum Probabilit | | 编辑 | Nobuaki Obata | | 视频video | | | 概述 | Presents a concise introduction to quantum probability theory as a unique tool for analyzing graph spectra and their asymptotics.Comprises a unique textbook showing the interplay of quantum probabilit | | 丛书名称 | SpringerBriefs in Mathematical Physics | | 图书封面 |  | | 描述 | 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 | | 出版日期 | Book 2017 | | 关键词 | quantum probability; graph spectra; complex networks; orthogonal polynomials; asymptotic combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-10-3506-7 | | isbn_softcover | 978-981-10-3505-0 | | isbn_ebook | 978-981-10-3506-7Series ISSN 2197-1757 Series E-ISSN 2197-1765 | | issn_series | 2197-1757 | | copyright | The Author(s) 2017 |
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发表于 2025-3-21 16:53:41
