Contemporary Mathematics 2003; 185 pp; softcover Volume: 326 ISBN10: 0821832034 ISBN13: 9780821832035 List Price: US$57 Member Price: US$45.60 Order Code: CONM/326
 This volume is a collection of papers presented at a special session on integrable systems and RiemannHilbert problems. The goal of the meeting was to foster new research by bringing together experts from different areas. Their contributions to the volume provide a useful portrait of the breadth and depth of integrable systems. Topics covered include discrete Painlevé equations, integrable nonlinear partial differential equations, random matrix theory, BoseEinstein condensation, spectral and inverse spectral theory, and last passage percolation models. In most of these articles, the RiemannHilbert problem approach plays a central role, which is powerful both analytically and algebraically. The book is intended for graduate students and researchers interested in integrable systems and its applications. Readership Graduate students and researchers interested in integrable systems and its applications. Table of Contents  J. Baik  RiemannHilbert problems for last passage percolation
 R. Beals, D. H. Sattinger, and J. Szmigielski  Inverse scattering and some finitedimensional integrable systems
 D. J. Kaup and H. Steudel  Recent results on second harmonic generation
 M. Kovalyov and A. H. Vartanian  On longdistance intensity asymptotics of solutions to the Cauchy problem for the modified nonlinear Schrödinger equation for vanishing initial data
 W. M. Liu and S. T. Chui  Integrable models in BoseEinstein condensates
 A. H. Vartanian  Longtime asymptotics of solutions to the Cauchy problem for the defocusing nonlinear Schrödinger equation with finitedensity initial data. I. Solitonless sector
