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Random Matrix Models and their Applications : Mathematical Sciences Research Institute Publications - Pavel M. Bleher

Random Matrix Models and their Applications

Mathematical Sciences Research Institute Publications

By: Pavel M. Bleher (Editor), Alexander R. Its (Editor)

Hardcover Published: 2nd February 2011
ISBN: 9780521802093
Number Of Pages: 450

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Random matrices arise from, and have important applications to, number theory, probability, combinatorics, representation theory, quantum mechanics, solid state physics, quantum field theory, quantum gravity, and many other areas of physics and mathematics. This volume of surveys and research results, based largely on lectures given at the Spring 1999 MSRI program of the same name, covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems. Its stress on the interaction between physics and mathematics will make it a welcome addition to the shelves of graduate students and researchers in both fields, as will its expository emphasis.

Symmetrized random permutations
Hankel determinants as Fredholm determinants
Universality and scaling of zeros on symplectic manifolds
Z measures on partitions, Robinson-Schensted-Knuth correspondence, and random matrix ensembles
Phase transitions and random matrices
Matrix model combinatorics: applications to folding and coloring Philippe Di Francesco
Inter-relationships between orthogonal, unitary and symplectic matrix ensembles
A note on random matrices
Orthogonal polynomials and random matrix theory Mourad E. H. Ismail
Random words, Toeplitz determinants and integrable systems I, Alexander R. Its
Random permutations and the discrete Bessel kernel Kurt Johansson
Solvable matrix models
Tau function for analytic Curves I
Integration over angular variables for two coupled matrices
SL and Z-measures
Integrable lattices: random matrices and random permutations Pierre Van Moerbeke
Some matrix integrals related to knots and links
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521802093
ISBN-10: 0521802091
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 450
Published: 2nd February 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.5
Weight (kg): 0.81

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