About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521802091

ISBN-139780521802093

eBay Product ID (ePID)1878876

Product Key Features

Number of Pages450 Pages

LanguageEnglish

Publication NameRandom Matrix Models and Their Applications

Publication Year2001

SubjectNumber Theory, Discrete Mathematics

TypeTextbook

AuthorAlexander R. Its

Subject AreaMathematics

SeriesMathematical Sciences Research Institute Publications

FormatHardcover

Dimensions

Item Height1.3 in

Item Weight26.9 Oz

Item Length9.6 in

Item Width6.4 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2001-025395

Dewey Edition21

Series Volume NumberSeries Number 40

IllustratedYes

Dewey Decimal512.9/434

Table Of Content1. 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.

SynopsisRandom 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., First published in 2000, this expository volume of surveys and research results 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., 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 focus 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.

LC Classification NumberQA188 .R34 2001