Spectral Analysis of Growing Graphs A Quantum Probability Point of View /

• Main Author: Obata, Nobuaki (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematical Physics, 20
• Subjects: Mathematics.; Probabilities.; Graph theory.; Mathematical physics.; Mathematical Physics.; Probability Theory and Stochastic Processes.; Graph Theory.

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...

Table of Contents:

• 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.