東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Spectral analysis of growing graphs ...

Obata, Nobuaki.

Linked to FindBook

Google Book

Amazon

博客來

Spectral analysis of growing graphs = a quantum probability point of view /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral analysis of growing graphs/ by Nobuaki Obata.
Reminder of title:	a quantum probability point of view /
Author:	Obata, Nobuaki.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	viii, 138 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Graphs and Matrices -- 2. Spectra of Finite Graphs -- 3. Spectral Distributions of Graphs -- 4. Orthogonal Polynomials and Fock Spaces -- 5. Analytic Theory of Moments -- 6. Method of Quantum Decomposition -- 7. Graph Products and Asymptotics -- References -- Index.
Contained By:	Springer eBooks
Subject:	Spectral theory (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-981-10-3506-7
ISBN:	9789811035067

Spectral analysis of growing graphs = a quantum probability point of view /
Obata, Nobuaki.

Spectral analysis of growing graphsa quantum probability point of view /[electronic resource] :by Nobuaki Obata. - Singapore :Springer Singapore :2017. - viii, 138 p. :ill., digital ;24 cm. - SpringerBriefs in mathematical physics,v.202197-1757 ;. - SpringerBriefs in mathematical physics ;v.20..

1. Graphs and Matrices -- 2. Spectra of Finite Graphs -- 3. Spectral Distributions of Graphs -- 4. Orthogonal Polynomials and Fock Spaces -- 5. Analytic Theory of Moments -- 6. Method of Quantum Decomposition -- 7. Graph Products and Asymptotics -- References -- Index.

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.

ISBN: 9789811035067

Standard No.: 10.1007/978-981-10-3506-7doiSubjects--Topical Terms:

524915
Spectral theory (Mathematics)

LC Class. No.: QA320

Dewey Class. No.: 515.7222

Spectral analysis of growing graphs = a quantum probability point of view /
LDR:02528nmm a2200325 a 4500 001 2090442
003 DE-He213
005 20170829100605.0
006 m d
007 cr nn 008maaau
008 171013s2017 si s 0 eng d
020 $a 9789811035067 $q (electronic bk.)
020 $a 9789811035050 $q (paper)
024 7 $a 10.1007/978-981-10-3506-7 $2 doi
035 $a 978-981-10-3506-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA320
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 515.7222 $2 23
090 $a QA320 $b .O12 2017
100 1 $a Obata, Nobuaki. $3 3221990
245 1 0 $a Spectral analysis of growing graphs $h [electronic resource] : $b a quantum probability point of view / $c by Nobuaki Obata.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2017.
300 $a viii, 138 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematical physics, $x 2197-1757 ; $v v.20
505 0 $a 1. Graphs and Matrices -- 2. Spectra of Finite Graphs -- 3. Spectral Distributions of Graphs -- 4. Orthogonal Polynomials and Fock Spaces -- 5. Analytic Theory of Moments -- 6. Method of Quantum Decomposition -- 7. Graph Products and Asymptotics -- References -- Index.
520 $a 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.
650 0 $a Spectral theory (Mathematics) $3 524915
650 0 $a Graph theory. $3 523815
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Graph Theory. $3 1567033
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematical physics ; $v v.20. $3 3221991
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-3506-7
950 $a Mathematics and Statistics (Springer-11649)