Random matrix models and their applications
Author(s)
Bibliographic Information
Random matrix models and their applications
(Mathematical Sciences Research Institute publications, 40)
Cambridge University Press, 2011, c2001
- : pbk
Available at 4 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"First published 2001" -- T.p. verso
"First paperback edition 2011" -- T.p. verso
Includes bibliographical references
Description and Table of Contents
Description
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 2001 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.
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.
by "Nielsen BookData"