Combinatorics and random matrix theory / Jinho Baik, Percy Deift, Toufic Suidan.

Format:

Book

Author/Creator:

Baik, Jinho, 1973-

Contributor:

Deift, Percy, 1945-

Suidan, Toufic Mubadda, 1975-

Series:

Graduate studies in mathematics ; v. 172.

Graduate Studies in Mathematics ; v. 172

Language:

English

Subjects (All):

Random matrices.

Combinatorial analysis.

Physical Description:

1 online resource (xi, 461 pages) : illustrations.

Other Title:

Graduate Studies in Mathematics.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

System Details:

Mode of access : World Wide Web

text file

Contents:

Chapter 1. Introduction Chapter 2. Poissonization and de-Poissonization Chapter 3. Permutations and Young tableaux Chapter 4. Bounds of the expected value of $\ell _N$ Chapter 5. Orthogonal polynomials, Riemann-Hilbert problems, and Toeplitz matrices Chapter 6. Random matrix theory Chapter 7. Toeplitz determinant formula Chapter 8. Fredholm determinant formula Chapter 9. Asymptotic results Chapter 10. Schur measure and directed last passage percolation Chapter 11. Determinantal point processes Chapter 12. Tiling of the Aztec diamond Chapter 13. The Dyson process and Brownian Dyson process Appendix A. Theory of trace class operators and Fredholm determinants Appendix B. Steepest-descent method for the asymptotic evaluation of integrals in the complex plane Appendix C. Basic results of stochastic calculus

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Baik, Jinho, 1973- Combinatorics and random matrix theory /

ISBN:

9781470432089

Access Restriction:

Restricted for use by site license.