Quantum Probability and Spectral Analysis of Graphs
Springer Berlin (Verlag)
978-3-642-08026-5 (ISBN)
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.
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.
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)
Erscheint lt. Verlag | 22.11.2010 |
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Reihe/Serie | Theoretical and Mathematical Physics |
Vorwort | L. Accardi |
Zusatzinfo | XVIII, 371 p. 8 illus. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 591 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Schlagworte | Algebra • Calculus • graph theory • orthogonal polynomials • Quantum probability • Spectral Analysis |
ISBN-10 | 3-642-08026-X / 364208026X |
ISBN-13 | 978-3-642-08026-5 / 9783642080265 |
Zustand | Neuware |
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