Spectral Analysis of Growing Graphs (Record no. 427183)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03465nam a22004935i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9789811035067 |
| -- | 978-981-10-3506-7 |
| 024 7# - | |
| -- | 10.1007/978-981-10-3506-7 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA401-425 |
| 050 #4 - | |
| -- | QC19.2-20.85 |
| 072 #7 - | |
| -- | PHU |
| -- | bicssc |
| 072 #7 - | |
| -- | SCI040000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PHU |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Obata, Nobuaki. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Spectral Analysis of Growing Graphs |
| Medium | [electronic resource] : |
| Remainder of title | A Quantum Probability Point of View / |
| Statement of responsibility, etc | by Nobuaki Obata. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Singapore : |
| Name of producer, publisher, distributor, manufacturer | Springer Singapore : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | VIII, 138 p. 22 illus., 9 illus. in color. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | SpringerBriefs in Mathematical Physics, |
| -- | 2197-1757 ; |
| -- | 20 |
| 505 0# - | |
| -- | 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 ## - | |
| -- | 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 - | |
| -- | Distribution (Probability theory. |
| 650 14 - | |
| -- | Mathematical Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M35000 |
| 650 24 - | |
| -- | Probability Theory and Stochastic Processes. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 650 24 - | |
| -- | Graph Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M29020 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811035050 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811035074 |
| 830 #0 - | |
| -- | SpringerBriefs in Mathematical Physics, |
| -- | 2197-1757 ; |
| -- | 20 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-981-10-3506-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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