Curriculum Vitae

Xin Zhou

Box 90320, Durham, NC 27708-0320 +1 919 660 2800 (office)
(email)
Education

Ph.D.University of Rochester1988
M.Sc.Chinese Academy of Sciences (China)1982
Areas of Research

Partial Differential Equations and Integrable Systems

Awards, Honors, and Distinctions

Polya Prize, 1998
Guggenheim Fellowship 1999
Fellowship, John Simon Guggenheim Memorial Foundation, 0 1999
George Polya Prize, Society for Industrial and Applied Mathematics, 0 1998

Major Grant Support

NSF Analysis

Conferences Organized

Special session on Random Matrices, XXIII International Conference of Differential Geometric Methods in Theoretical Physics, August, 2005  
ORGANIZER, SIAC-SIAM mini-symposium 10/1/2004, December 2004  
organizer, NSF- AMS Summer Conference Snowbird UT, June 2003  
Professional Service

Qualifying Exam Committee for Sergei Below, December 2006  
Exam Committee for Shu Dai, December 2005  
ARP search committee, December 2004  
Review committee for Huber, December 2004  
Qualifying exam for Abe Smith, November 03, 2004  
Qualifying for Xu Feng, March, 2004  
Appl. Panel, January 2003  
Selected Recent Invited Talks

AMS, Alabama, 1 July 2001  
Invited Addresses: Conference at the University of Montreal, 2000. AMS SouthEast Meeting, 2000.

Publications

Papers Published

  1. Rider, B; Zhou, X, Janossy densities for unitary ensembles at the spectral edge, International Mathematics Research Notices, vol. 2008 no. 1 (December, 2008), Oxford University Press (OUP), ISSN 1073-7928
  2. McLaughlin, KTR; Vartanian, AH; Zhou, X, Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights: I, Mathematical Physics Analysis and Geometry, vol. 11 no. 3-4 (November, 2008), pp. 187-364, Springer Nature, ISSN 1385-0172
  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 (March, 2008), pp. 149-202, Springer Nature, ISSN 0176-4276
  4. 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 (January, 2008), pp. 39-104, Springer Nature, ISSN 0167-8019
  5. with McLaughlin, KT-R; Vartanian, AH, 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
  6. with Tovbis, A; Venakides, S; Zhou, X, Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data, International Mathematics Research Notices, vol. 2007 (December, 2007), Oxford University Press (OUP), ISSN 1073-7928
  7. Deift, P; Its, A; Krasovsky, I; Zhou, X, The Widom-Dyson constant for the gap probability in random matrix theory, Journal of Computational and Applied Mathematics, vol. 202 no. 1 SPECIAL ISSUE (May, 2007), pp. 26-47, Elsevier BV, ISSN 0377-0427
  8. R. Buckingham, A. Tovbis, S. Venakides and X. Zhou, The semiclassical focusing nonlinear Schroedinger equation, in Recent Advances in Nonlinear Partial Differentila Equations and Applications, edited by L.L. Bonilla, A. Carpio, J.M. Vega, S. Venakides, vol. 65 (2007), pp. 47-80, American Mathematical Society
  9. McLaughlin, KTR; Vartanian, AH; Zhou, X, Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights, International Mathematics Research Papers, vol. 2006 (October, 2006), Oxford University Press (OUP), ISSN 1687-3017
  10. with Tovbis, A; Venakides, S; Zhou, X, On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case, Communications on Pure and Applied Mathematics, vol. 59 no. 10 (January, 2006), pp. 1379-1432, WILEY, ISSN 0010-3640
  11. with Deift, P; Its, A; Krasovsky, I, The Widpm-Dyson constant for the gap probability in random matrix theory, a special edition of the Journal of Computational and Applied Mathematics (2006)
  12. with McLaughlin, KT-R; Vartanian, AH, Asymptotics of Orthogonal Laurent Polynomials of Even Degree with Respect to Varying Exponential Weights, IMRN (2006)
  13. with P. Deift, Riemann-Hilbert Problem, in Encyclopedia of Nonlinear Science, edited by A.Scott (2005), pp. 804-808
  14. with P. Deift, Random Matrix Theory III, in Encyclopedia of Nonlinear Science, edited by A.Scott (2005), pp. 771-774
  15. Tovbis, A; Venakides, S; Zhou, X, On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation, Communications on Pure and Applied Mathematics, vol. 57 no. 7 (July, 2004), pp. 877-985, WILEY, ISSN 0010-3640
  16. Deift, P; Zhou, X, Long-Time Asymptotics for Solutions of the NLS Equation with Initial Data in a Weighted Sobolev Space, Communications on Pure and Applied Mathematics, vol. 56 no. 8 (August, 2003), pp. 1029-1077, WILEY
  17. with Deift, P, 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 (2003), pp. 1-49
  18. Liu, WM; Wu, B; Zhou, X; Campbell, DK; Chui, ST; Niu, Q, Interacting domain walls in an easy-plane ferromagnet, Physical Review B - Condensed Matter and Materials Physics, vol. 65 no. 17 (May, 2002), pp. 1724161-1724164, American Physical Society (APS), ISSN 1098-0121
  19. Deift, P; Zhou, X, A priori Lp-estimates for solutions of Riemann-Hilbert problems, International Mathematics Research Notices no. 40 (January, 2002), pp. 2121-2154
  20. with Deift, P; Zhou, X, Perturbation theory for infinite-dimensional integrable systems on the line. A case study, Acta Mathematica, vol. 188 no. 2 (January, 2002), pp. 163-262, International Press of Boston, ISSN 0001-5962
  21. with Deift, P, Uniform L^p estimates for solutions of Riemann--Hilbert Problems depending on external parameters, Intl. Math. Res. Notices no. 40 (2002), pp. 2121-2154
  22. with Deift, P; Kriecherbauer, T; McLaughlin, KR; Venakides, S; Zhou, X, A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials, Journal of Computational and Applied Mathematics, vol. 133 no. 1-2 (August, 2001), pp. 47-63, Elsevier BV, ISSN 0377-0427
  23. Baik, J; Deift, P; McLaughlin, K; Miller, P; Zhou, X, Optimal tail estimates for directed last passage site percolation with geometric random variables, Advances in Theoretical and Mathematical Physics, vol. 5 no. 6 (January, 2001), pp. 1207-1250, ISSN 1095-0761
  24. with Baik, J; Deift, P; McLaughlin, KTR; Miller, P, Optimal tail estimates for directed last passage site percolation with geometric random variables, Adv. Theo. Math. Phys., vol. 5 no. 6 (2001), pp. 1207-1250, ISSN 1095-0761
  25. with Deift, P; Its, A; Kapaev, A; Zhou, X, On the algebro-geometric integration of the Schlesinger equations, Communications in Mathematical Physics, vol. 203 no. 3 (January, 1999), pp. 613-633, Springer Nature
  26. Liu, WM; Zhang, WS; Pu, FC; Zhou, X, Nonlinear magnetization dynamics of the classical ferromagnet with two single-ion anisotropies in an external magnetic field, Physical Review B - Condensed Matter and Materials Physics, vol. 60 no. 18 (January, 1999), pp. 12893-12911, American Physical Society (APS)
  27. with Cheng, PJ; Venakides, S; Zhou, X, Long-time asymptotics for the pure radiation solution of the sine-Gordon equation, Communications in Partial Differential Equations, vol. 24 no. 7-8 (January, 1999), pp. 1195-1262, Informa UK Limited
  28. with Deift, P; Kriecherbauer, T; McLaughlin, KTR; Venakides, S; Zhou, X, Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory, Communications on Pure and Applied Mathematics, vol. 52 no. 11 (January, 1999), pp. 1335-1425, WILEY
  29. Deift, P; Kriecherbauer, T; Mclaughlin, KTR; Venakides, S; Zhou, X, Strong asymptotics of orthogonal polynomials with respect to exponential weights, Communications on Pure and Applied Mathematics, vol. 52 no. 12 (January, 1999), pp. 1491-1552
  30. Deift, P; Venakides, S; Zhou, X, An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries (KdV) equation., Proceedings of the National Academy of Sciences of the United States of America, vol. 95 no. 2 (January, 1998), pp. 450-454, ISSN 0027-8424
  31. Zhou, X, L2-Sobolev space bijectivity of the scattering and inverse scattering transforms, Communications on Pure and Applied Mathematics, vol. 51 no. 7 (January, 1998), ISSN 0010-3640
  32. Zhou, X, L2-Sobolev space bijectivity of the scattering and inverse scattering transforms, Communications on Pure and Applied Mathematics, vol. 51 no. 7 (1998), pp. X-730, ISSN 0010-3640
  33. Deift, P; Kriecherbauer, T; McLaughlin, KTR; Venakides, S; Zhou, X, Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights, International Mathematics Research Notices no. 16 (December, 1997), pp. X-782
  34. Deift, P; Venakides, S; Zhou, X, New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for Riemann-Hilbert Problems, International Mathematics Research Notices no. 6 (December, 1997), pp. 284-299
  35. Deift, P; Zhou, X, Near integrable systems on the line. A case study-pertubation theory of the defocusing nonlinear Schrödinger equation, Mathematical Research Letters, vol. 4 no. 5 (January, 1997), pp. 761-772, International Press of Boston
  36. Zhou, X, Strong regularizing effect of integrable systems, Communications in Partial Differential Equations, vol. 22 no. 3-4 (January, 1997), pp. 503-526, Informa UK Limited
  37. Deift, PA; Its, AR; Zhou, X, A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics, Annals of Mathematics, vol. 146 no. 1 (January, 1997), pp. 149-235, JSTOR, ISSN 0003-486X
  38. Deift, P; Kamvissis, S; Kriecherbauer, T; Zhou, X, The toda rarefaction problem, Communications on Pure and Applied Mathematics, vol. 49 no. 1 (January, 1996), pp. 35-83, WILEY
  39. Xin, X, Inverse scattering transform for systems with rational spectral dependence, Journal of Differential Equations, vol. 115 no. 2 (January, 1995), pp. 277-303, Elsevier BV, ISSN 0022-0396
  40. Deift, PA; Zhou, X, Asymptotics for the painlevé II equation, Communications on Pure and Applied Mathematics, vol. 48 no. 3 (January, 1995), pp. 277-337, WILEY
  41. Deift, PA; Zhou, X, Long-time asymptotics for integrable systems. Higher order theory, Communications in Mathematical Physics, vol. 165 no. 1 (October, 1994), pp. 175-191, Springer Nature, ISSN 0010-3616
  42. Deift, P; Venakides, S; Zhou, X, The collisionless shock region for the long‐time behavior of solutions of the KdV equation, Communications on Pure and Applied Mathematics, vol. 47 no. 2 (January, 1994), pp. 199-206, WILEY
  43. Fokas, AS; Mugan, U; Zhou, X, On the solvability of Painleve I, III and V, Inverse Problems, vol. 8 no. 5 (December, 1992), pp. 757-785, IOP Publishing, ISSN 0266-5611
  44. Fokas, AS; Zhou, X, On the solvability of Painlevé II and IV, Communications in Mathematical Physics, vol. 144 no. 3 (March, 1992), pp. 601-622, Springer Nature, ISSN 0010-3616
  45. Deift, P; Zhou, X, A steepest descent method for oscillatory Riemann-Hilbert problems, Bulletin of the American Mathematical Society, vol. 26 no. 1 (January, 1992), pp. 119-123, American Mathematical Society (AMS), ISSN 0273-0979
  46. Deift, P; Zhou, X, Direct and inverse scattering on the line with arbitrary singularities, Communications on Pure and Applied Mathematics, vol. 44 no. 5 (January, 1991), pp. 485-533, WILEY
  47. Zhou, X, Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation, Communications in Mathematical Physics, vol. 128 no. 3 (March, 1990), pp. 551-564, Springer Nature, ISSN 0010-3616
  48. Zhou, X, Direct and inverse scattering transforms with arbitrary spectral singularities, Communications on Pure and Applied Mathematics, vol. 42 no. 7 (January, 1989), pp. 895-938
  49. Percy Deift and Xin Zhou, Perturbation theory for infinite dimensional integrable systems on the line. A case study, ACTA Math. preprint 2000
  50. with P. Deift, T. Kriecherbauer, K. McLaughlin, and S. Venakides, Strong asymptotics for polynomials orthogonal with respect exponential weights, an announcement, Comm. Pure Appl. Math. 52 (1999), no. 12, 1491-1552.
  51. with P. Deift, Asymptotics for Oscillatory Riemann-HilbertProblems, CCAST (Beijing), Proc. CCAST, 1999.
  52. P. Deift, S. Venakides, Xin Zhou, An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries, Proc. Natl. Acad. Sc. USA, 95, no. 2, 450-454 (1998)
  53. Xin Zhou, The L2-Sobolev space bijectivity of the scattering and inverse scattering transforms, Comm. Pure Appl. Math., vol. LI, 697-731 (1998)
  54. P. Deift, T. Kriecherbauer, K. McLaughlin, S. Venakides,Xin Zhou, Uniform Asymptotics for Orthogonal Polynomials, Proceedings of the International Congress of Mathematicians, Vol. III (Berlin), 1998.
  55. P. Deift, A. Its, Xin Zhou, A Riemann-Hilbert problem approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics, Ann. of Math. 146, no. 1, 149-235 (1997)
  56. P. Deift, Xin Zhou, Near integrable systems on the line. A case study-perturbation theory of the defocusing nonlinear Schroedinger equation, Math. Res. Lett. 4, no. 5, 761-772 (1997).
  57. Deift, P. and Xin Zhou, Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field, Singular limits of dispersive waves (Lyon, 1991), 183-201, NATO Adv. Sci. Inst. Ser. B Phys. 320, Plenum, New York, 1994.
  58. Deift, P. and Xin Zhou, Asymptotics for the Painleve II equation: announcement of result, Spectral and scattering theory and applications, 17-26, Adv. Stud. Pure Math. 23, Math. Soc. Japan, Tokyo, 1994
  59. Beals, R., Deift, P., and Xin Zhou, The inverse scattering transform on the line, Important Developments in Soliton Theory, 7-32, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993.
  60. Deift, P., Its, A. and Xin Zhou, Long-time asymptotics for integrable nonlinear wave equations, Important Developments in Soliton Theory, 181-204, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993
  61. Deift, P. and Xin Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation, Ann. of Math. (2) 137 (1993), 295-368
  62. Fokas, A., Mugan, U. and Xin Zhou, On the solvability of Painleve I, III and V, Inverse Problems 8 (1992), no. 5, 757-785
  63. Fokas, A. and Xin Zhou, On the solvability of Painleve II and IV, Comm. Math. Phys. 144 (3) (1992), 601-622
  64. Fokas, A., Its, A. and Xin Zhou, Continuous and discrete Painleve equations, Painleve transcendents (Sainte-Adele, PQ, 1990), 34-47, NATO Adv. Sci. Inst. Ser. B Phys., 278, Plenum, New York, 1992
  65. Xin Zhou, The Riemann-Hilbert problem and inverse scattering, SIAM J. Math. Anal. 20 (1989), 966-986
  66. Pu, F., Li, B. and Xin Zhou, Multisoliton solutions for a classical ferromagnetic chain, Comm. Theoret. Phys. 2 (1983), 797-802

Papers In Preparation

  1. A.S. Fokas and X. Zhou, Linearly Moving Boundry Value Problems (2005)

Preprints

  1. N. Huang, W. Liu, F. Pu, , W. Zhang, Xin Zhou, Nonlinear magnetization dynamics of a ferromagnet with an anisotropy in an external magnetic field, 1997 , preprint 1997
Last modified: 2024/04/16