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Xin Zhou, Professor Emeritus

Professor Zhou studies the 1-D, 2-D inverse scattering theory, using the method of Riemann-Hilbert problems. His current research is concentrated in a nonlinear type of microlocal analysis on Riemann-Hilbert 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) 660-2842
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~zhou

Education:

Ph.D.University of Rochester1988
M.Sc.Chinese Academy of Sciences (China)1982
Research Interests: Partial Differential Equations and Integrable Systems

Professor Zhou studies the 1-D, 2-D inverse scattering theory, using the method of Riemann-Hilbert problems. His current research is concentrated in a nonlinear type of microlocal analysis on Riemann-Hilbert 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)

  1. 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. 209-215, ISSN 0022-247X [doi]  [abs]
  2. 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. 39-104, ISSN 0167-8019 [doi]  [abs]
  3. 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. 149-202, ISSN 0176-4276 [doi]  [abs]
  4. 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. 202-209, ISSN 0096-3003 [doi]  [abs]
  5. Rider, B; Zhou, X, Janossy densities for unitary ensembles at the spectral edge, International Mathematics Research Notices, vol. 2008 no. 1 (2008), ISSN 1073-7928 [doi]  [abs]
Conferences Organized

  • Special session on Random Matrices, XXIII International Conference of Differential Geometric Methods in Theoretical Physics, August, 2005  
  • SIAC-SIAM mini-symposium 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 27708-0320