MSRI Publications – Volume 40

Random Matrix Models and Their Applications

Edited by Pavel Bleher and Alexander Its
Contents

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Front matter (front page, copyright page)
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Table of Contents
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Preface, by Pavel Bleher and Alexander Its
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Symmetrized Random Permutations, by Jinho Baik and Eric M. Rains, 1-19
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Hankel Determinants as Fredholm Determinants, by Estelle L. Basor, Yang Chen, and Harold Widom, 21-29
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Universality and Scaling of Zeros on Symplectic Manifolds, by Pavel Bleher, Bernard Shiffman, and Steve Zelditch, 31-69
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Z-Measures on Partitions, Robinson–Schensted–Knuth Correspondence, and $\beta=2$ Random Matrix Ensembles, by Alexei Borodin and Grigori Olshanski, 71-94
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Phase Transitions and Random Matrices, by Giovanni M. Cicuta, 95-109
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Matrix Model Combinatorics: Applications to Folding and Coloring, by Philippe Di Francesco, 111-170
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Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles, by Peter J. Forrester and Eric M. Rains, 171-207
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Dual Isomonodromic Tau Functions and Determinants of Integrable Fredholm Operators, by John Harnad, 209-224
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Orthogonal Polynomials and Random Matrix Theory, by Mourad E. H. Ismail, 225-244
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Random Words, Toeplitz Determinants and Integrable Systems, I, by Alexander R. Its, Craig A. Tracy, and Harold Widom, 245-258
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Random permutations and the discrete Bessel kernel, by Kurt Johansson, 259-269
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Solvable Matrix Models, by Vladimir Kazakov, 271-283
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Tau-function for Analytic Curves, by I. K. Kostov, I. Krichever, M. Mineev-Vainstein, P. B. Wiegmann, and A. Zabrodin, 285-299
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Integration over Angular Variables for Two Coupled Matrices, by G. Mahoux, M. L. Mehta, and J.-M. Normand, 301-320
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Integrable lattices: random matrices and random permutations, by Pierre van Moerbeke, 321-406
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SL(2) and z-measures, by Andrei Okounkov, 407-420
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Some Matrix Integrals related to knots and Links, by Paul Zinn-Justin, 421-438
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