AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Combinatorics and Random Matrix Theory
About this Title
Jinho Baik, University of Michigan, Ann Arbor, MI, Percy Deift, Courant Institute, New York University, New York, NY and Toufic Suidan
Publication: Graduate Studies in Mathematics
Publication Year:
2016; Volume 172
ISBNs: 978-0-8218-4841-8 (print); 978-1-4704-3208-9 (online)
DOI: https://doi.org/10.1090/gsm/172
MathSciNet review: MR3468920
MSC: Primary 60B20; Secondary 30E25, 33E17, 41A60, 47B35, 82C23
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- 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