Random Matrix Models and their Applications

Table of Contents

1. Symmetrized random permutations Jinho Baik and Eric M. Rains
2. Hankel determinants as Fredholm determinants Estelle L. Basor, Yang Chen and Harold Widom
3. Universality and scaling of zeros on symplectic manifolds Pavel Bleher, Bernard Shiffman and Steve Zelditch
4. Z measures on partitions, Robinson-Schensted-Knuth correspondence, and random matrix ensembles Alexei Borodin and Grigori Olshanski
5. Phase transitions and random matrices Giovanni M. Cicuta
6. Matrix model combinatorics: applications to folding and coloring Philippe Di Francesco
7. Inter-relationships between orthogonal, unitary and symplectic matrix ensembles Peter J. Forrester and Eric M. Rains
8. A note on random matrices John 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 permutations and the discrete Bessel kernel Kurt Johansson
12. Solvable matrix models Vladimir 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 Van Moerbeke
17. Some matrix integrals related to knots and links Paul Zinn-Justin.

Look Inside

• Marketing Excerpt (537 KB)
• Front Matter (334 KB)
• Table of Contents (81 KB)
• Copyright Information Page (84 KB)