Mathematics 248: Topics in Analysis (Spring 2003)
Instructor
Stephanos Venakides
Description
The course will introduce new powerful rigorous asymptotic
techniques that have arisen in the theory of integrable systems.
Topics will include
- inverse scattering transformation through a Riemann-Hilbert problem,
- analysis of the KdV equation, the Toda lattice and the nonlinear
Shroedinger equation,
- rigorous asymptotic results in the theory of random matrices.
Text(s)
- P. Deift ``Orthogonal Polynomials and Random Matrices:
A Riemann-Hilbert Approach'', Courant Lecture Notes #3, AMS
For more information consult the instructor.
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Duke University
Last modified: 24 October 2002