Quantum Probability and Spectral Analysis of Graphs

• Κύριοι συγγραφείς: Hora, Akihito (Συγγραφέας), Obata, Nobuaki (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Theoretical and Mathematical Physics,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.