Contents
Preface ix
List of Participants xi
Percy Deift at integer times
CARLOS TOMEI 1
Birkhoff normal form for the periodic Toda lattice
ANDREAS HENRICI and THOMAS KAPPELER 11
Asymptotics of a Class of Operator Determinants with Application to the
Cylindrical Toda Equations
HAROLD WIDOM 31
Connection formulas for the third Painleve transcendent in the complex plane
V. Yu. NOVOKSHENOV 55
Nonlinear Fourier Transforms and Integrability in Multidimensions
A. S. FOKAS 71
Numerical study of a multiscale expansion of Korteweg-de Vries and
Camassa-Holm equation
TAMARA GRAVA and CHRISTIAN KLEIN 81
Long-time asymptotics of the Camassa-Holm equation on the line
ANNE BOUTET DE MONVEL and DMITRY SHEPELSKY 99
Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation
case: Riemann-Hilbert Problem approach
ALEXANDER TOVBIS, STEPHANOS VENAKIDES, and XIN ZHOU 117
From Stationary Phase to Steepest Descent
SPYRIDON KAMVISSIS 145
Riemann-Hilbert Problems with Lots of Discrete Spectrum
PETER D. MILLER 163
Locating the zeros of partial sums of
ez
with Riemann-Hilbert methods
T. KRIECHERBAUER, A. B. J. KmJLAARs, K. D. T-R McLAUGHLIN,
and P. D. MILLER 183
Two variable Deformations of the Chebyshev measure
JEFFREY S. GERONIMO and PLAMEN lLIEV 197
vii
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