22 citations · 27 across the 2 of their papers we have counts for
2 papers
nlin.SI2003★ 5 cited
The Zero-Dispersion Limit for the Odd Flows in the Focusing Zakharov-Shabat Hierarchy
Nicholas M. Ercolani, Shan Jin, C. David Levermore +1
We present a numerical and theoretical study of the zero-dispersion limit of the focusing Zakharov-Shabat hierarchy, which includes NLS and mKdV flows as its second and third membe…
math-ph2002★ 22 cited
Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques, and applications to graphical enumeration
N. M. Ercolani, K. D. T-R McLaughlin
We study the partition function from random matrix theory using a well known connection to orthogonal polynomials, and a recently developed Riemann-Hilbert approach to the computat…