Quantum Probability and Spectral Analysis of Graphs

• Main Authors: Hora, Akihito (Author), Obata, Nobuaki (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Theoretical and Mathematical Physics,
• Subjects: Physics.; Algebra.; Quantum physics.; Mathematical Methods in Physics.; Quantum Physics.

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...

Table of Contents:

• Quantum Probability and Orthogonal Polynomials
• Adjacency Matrices
• Distance-Regular Graphs
• Homogeneous Trees
• Hamming Graphs
• Johnson Graphs
• Regular Graphs
• Comb Graphs and Star Graphs
• The Symmetric Group and Young Diagrams
• The Limit Shape of Young Diagrams
• Central Limit Theorem for the Plancherel Measures of the Symmetric Groups
• Deformation of Kerov's Central Limit Theorem.