著者紹介

内容

目次

1. Symmetrized random permutations Jinho Baik and Eric M. Rains; 2.Hankel determinants as Fredholm determinants Estelle L. Basor, Yang Chen andHarold Widom; 3. Universality and scaling of zeros on symplectic manifoldsPavel Bleher, Bernard Shiffman and Steve Zelditch; 4. Z measures onpartitions, Robinson-Schensted-Knuth correspondence, and random matrixensembles Alexei Borodin and Grigori Olshanski; 5. Phase transitions andrandom matrices Giovanni M. Cicuta; 6. Matrix model combinatorics:applications to folding and coloring Philippe Di Francesco; 7.Inter-relationships between orthogonal, unitary and symplectic matrixensembles Peter J. Forrester and Eric M. Rains; 8. A note on random matricesJohn Harnad; 9. Orthogonal polynomials and random matrix theory Mourad E. H.Ismail; 10. Random words, Toeplitz determinants and integrable systems I,Alexander R. Its, Craig A. Tracy and Harold Widom; 11. Random permutationsand the discrete Bessel kernel Kurt Johansson; 12. Solvable matrix modelsVladimir Kazakov; 13. Tau function for analytic Curves I. K. Kostov, I.Krichever, M. Mineev-Vainstein, P. B. Wiegmann and A. Zabrodin; 14.Integration over angular variables for two coupled matrices G. Mahoux, M. L.Mehta and J.-M. Normand; 15. SL and Z-measures Andrei Okounkov; 16.Integrable lattices: random matrices and random permutations Pierre VanMoerbeke; 17. Some matrix integrals related to knots and links PaulZinn-Justin.