Math @ Duke

Xin Zhou, Professor
 Contact Info:
 Education:
 Ph.D.in Mathematics, 1988, University of Rochester
M.S.in Physics, 1982, Chinese Academy of Sciences (Institute of Physics)
 Research Interests: Partial Differential Equations and Integrable Systems
Professor Zhou studies the 1D, 2D inverse scattering theory, using the method of RiemannHilbert problems. His
current research is concentrated in a nonlinear type of microlocal analysis on RiemannHilbert problems. Subjects
of main interest are integrable and near intergrable PDE, integrable statistical models, orthogonal polynomials and
random matrices, monodromy groups and Painleve equations with applications in physics and algebraic geometry.
A number of classical and new problems in analysis, numerical analysis, and physics have been solved by zhou or
jointly by zhou and his collaborators.
 Curriculum Vitae
 Recent Publications
(More Publications)
 B. Rider and X. Zhou, Janossy densities for unitary ensembles at the spectral edge,
IMRN
(2008)
 with K. T.R. McLaughlin, A. H. Vartanian, Asymptotics of Coefficients of Recurrence Relations, Hankel Determinants Ratios, and Root Products Associated with Orthogonal Laurent Polynomials with Respect to Varying Exponential Weights,
journal Acta Applicandae Mathematicae, vol. 100
(2008),
pp. 39104
 with K. McLaughlin , A.H. Vartanian, Asymptotics of Orthogonal Laurent Polynomials of Odd Degree with Respect to Varying Exponential Weights,
Constructive Approximation, vol. 27
(2008),
pp. 149202
 K. T.R. McLaughlin, A. H. Vartanian, and X. Zhou, Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights,
Math. Phys. Anal. Geom.
(Accepted, 2008)
 with A. Tovbis and S. Venakides, Semiclassical focusing nonlinear Schroedinger equation I: Inverse scattering map and its evolution for radiative initial data,
IMRN
(2007)
 Conferences Organized
 Special session on Random Matrices, XXIII International Conference of Differential Geometric Methods in Theoretical Physics, August, 2005
 SIACSIAM minisymposium 10/1/2004, ORGANIZER, December 2004
 NSF AMS Summer Conference Snowbird UT, organizer, June 2003


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

