Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition by Akihito Hora | (PDF) Free Download

Description

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.

User’s Reviews

Editorial Reviews: Review 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) From the Back Cover This is the first book to comprehensively cover the quantum probabilistic approach to spectral analysis of graphs. This approach has been developed by the authors and has become an interesting research area in applied mathematics and physics. The book can be used as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, which have been recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding. Among the topics discussed along the way are: quantum probability and orthogonal polynomials; asymptotic spectral theory (quantum central limit theorems) for adjacency matrices; the method of quantum decomposition; notions of independence and structure of graphs; and asymptotic representation theory of the symmetric groups. About the Author 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. Read more

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Free Download Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition in PDF format
Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition PDF Free Download
Download Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition 2007 PDF Free
Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition 2007 PDF Free Download
Download Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition PDF
Free Download Ebook Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics) 2007th Edition