This proposal project covers, perturbation theory for focusing NLS, multiple orthogonal polynomials, oscillatory Riemann-Hilbert problems with nonanalytic phase, zero dispersion of focusing NLS, orthogonal rational functions, and Janossy densities in the random matrix theory. All these problems require Riemann-Hilbert problem techniques to study.

This project is an effort to develop further the analytic aspects and the interdisciplinary applications of the fruitful field of the Riemann--Hilbert problem method, with the balance between its intellectual and educational merits. The study of Riemann--Hilbert problem has applications in several areas of mathematics and mathematical physics, including partial differential equations, statistical mechanics and combinatorics.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
0602344
Program Officer
Bruce P. Palka
Project Start
Project End
Budget Start
2006-06-01
Budget End
2010-05-31
Support Year
Fiscal Year
2006
Total Cost
$125,364
Indirect Cost
Name
Duke University
Department
Type
DUNS #
City
Durham
State
NC
Country
United States
Zip Code
27705