Xin Zhou, Professor Emeritus
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.  Contact Info:
Office Location:  120 Science Drive, 117 Physics Bldg, Durham, NC 27708  Office Phone:  (919) 6602842  Email Address:   Web Page:  http://www.math.duke.edu/~zhou   Education:
Ph.D.  University of Rochester  1988 
M.Sc.  Chinese Academy of Sciences (China)  1982 
 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)
 Zhou, X; Li, C, On the algebraic structure of Abelian integrals for a kind of perturbed cubic Hamiltonian systems,
Journal of Mathematical Analysis and Applications, vol. 359 no. 1
(2009),
pp. 209215, ISSN 0022247X [doi] [abs]
 McLaughlin, KTR; Vartanian, AH; Zhou, X, Asymptotics of recurrence relation coefficients, hankel determinant ratios, and root products associated with laurent polynomials orthogonal with respect to varying exponential weights,
Acta Applicandae Mathematicae, vol. 100 no. 1
(2008),
pp. 39104, ISSN 01678019 [doi] [abs]
 with McLaughlin, KTR; Vartanian, AH; Zhou, X, Asymptotics of laurent polynomials of odd degree orthogonal with respect to varying exponential weights,
Constructive Approximation, vol. 27 no. 2
(2008),
pp. 149202, ISSN 01764276 [doi] [abs]
 Zhou, X; Li, C, Estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians with two centers,
Applied Mathematics and Computation, vol. 204 no. 1
(2008),
pp. 202209, ISSN 00963003 [doi] [abs]
 Rider, B; Zhou, X, Janossy densities for unitary ensembles at the spectral edge,
International Mathematics Research Notices, vol. 2008 no. 1
(2008), ISSN 10737928 [doi] [abs]
 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
