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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. with KT-R McLaughlin and AH 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. 39-104
  2. with P Deift, A Its and I Krasovsky, The Widpm-Dyson constant for the gap probability in random matrix theory, a special edition of the Journal of Computational and Applied Mathematics (Accepted, 2006)
  3. with KT-R McLaughlin and AH Vartanian, Asymptotics of Orthogonal Laurent Polynomials of Even Degree with Respect to Varying Exponential Weights, IMRN (Accepted, 2006)
  4. with P Deift, Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space, Comm. Pure Appl. Math., vol. 56 no. 8 (January, 2013), pp. 1-49 [doi]
  5. with P Deift, Uniform L^p estimates for solutions of Riemann--Hilbert Problems depending on external parameters, Intl. Math. Res. Notices no. 40 (January, 2013), pp. 2121-2154
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