Quantum Probability and Spectral Analysis of Graphs
(Sprache: Englisch)
This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers...
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Produktinformationen zu „Quantum Probability and Spectral Analysis of Graphs “
This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.
Klappentext zu „Quantum Probability and Spectral Analysis of Graphs “
This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.
Inhaltsverzeichnis zu „Quantum Probability and Spectral Analysis of Graphs “
- Quantum Probability and Orthogonal Polynomials- Adjacency Matrix
- Distance-Regular Graph
- Homogeneous Tree
- Hamming Graph
- Johnson Graph
- Regular Graph
- Comb Graph and Star Graph
- Symmetric Group and Young Diagram
- Limit Shape of Young Diagrams
- Central Limit Theorem for the Plancherel Measure of the Symmetric Group
- Deformation of Kerov's Central Limit Theorem
- References
- Index
Autoren-Porträt von Akihito Hora, Nobuaki Obata
Quantum Probability and Orthogonal Polynomials.- Adjacency Matrix.- Distance-Regular Graph.- Homogeneous Tree.- Hamming Graph.- Johnson Graph.- Regular Graph.- Comb Graph and Star Graph.- Symmetric Group and Young Diagram.- Limit Shape of Young Diagrams.- Central Limit Theorem for the Plancherel Measure of the Symmetric Group.- Deformation of Kerov's Central Limit Theorem.- References.- Index.
Bibliographische Angaben
- Autoren: Akihito Hora , Nobuaki Obata
- 2007, 371 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Mitarbeit:Accardi, L.
- Verlag: Springer
- ISBN-10: 3540488626
- ISBN-13: 9783540488620
- Erscheinungsdatum: 02.05.2007
Sprache:
Englisch
Rezension zu „Quantum Probability and Spectral Analysis of Graphs “
From the reviews:"It is a very accessible introduction for the non expert to a few rapidly evolving areas of mathematics such as spectral analysis of graphs ... . this monograph seems to be the first publication providing a synthesis of a very vast mathematical literature in these areas by giving to the reader a concise and self contained panorama of existing results ... . this book is important to the quantum probability community and emphasizes well many new applications of quantum probability to other areas of mathematics." (Benoit Collins, Zentralblatt MATH, Vol. 1141, 2008)
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