Math @ Duke

Papers Published
 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]
 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]
 with McLaughlin, KTR; 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. 39104
 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. 4780, American Mathematical Society
 Deift, P; Its, A; Krasovsky, I; Zhou, X, The WidomDyson constant for the gap probability in random matrix theory,
Journal of Computational and Applied Mathematics, vol. 202 no. 1 SPECIAL ISSUE
(2007),
pp. 2647, ISSN 03770427 [doi] [abs]
 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
(2007), ISSN 10737928 [doi] [abs]
 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
(2006), ISSN 16873017 [doi] [abs]
 with Tovbis, A; Venakides, S; Zhou, X, On the longtime limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case,
Communications on Pure & Applied Mathematics, vol. 59 no. 10
(2006),
pp. 13791432, ISSN 00103640 [doi] [abs]
 with P. Deift, RiemannHilbert Problem,
in Encyclopedia of Nonlinear Science, edited by A.Scott
(2005),
pp. 804808
 with P. Deift, Random Matrix Theory III,
in Encyclopedia of Nonlinear Science, edited by A.Scott
(2005),
pp. 771774
 Tovbis, A; Venakides, S; Zhou, X, On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation,
Communications on Pure & Applied Mathematics, vol. 57 no. 7
(2004),
pp. 877985, ISSN 00103640 [doi] [abs]
 with Deift, P, Longtime 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. 149 [doi]
 Deift, P; Zhou, X, LongTime 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
(2003),
pp. 10291077 [doi]
 Liu, WM; Wu, B; Zhou, X; Campbell, DK; Chui, ST; Niu, Q, Interacting domain walls in an easyplane ferromagnet,
Physical Review B  Condensed Matter and Materials Physics, vol. 65 no. 17
(May, 2002), ISSN 10980121 [Gateway.cgi], [doi]
 Deift, P; Zhou, X, A priori L^{p}estimates for solutions of RiemannHilbert problems,
International Mathematics Research Notices no. 40
(2002),
pp. 21212154
 with Deift, P, Uniform L^p estimates for solutions of RiemannHilbert Problems depending on external parameters,
Intl. Math. Res. Notices no. 40
(2002),
pp. 21212154
 with Deift, P; Zhou, X, Perturbation theory for infinitedimensional integrable systems on the line. A case study,
Acta Mathematica, vol. 188 no. 2
(2002),
pp. 163262, ISSN 00015962
 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. 12071250, ISSN 10950761 [abs]
 with Deift, P; Kriecherbauer, T; McLaughlin, KR; Venakides, S; Zhou, X, A riemannHilbert approach to asymptotic questions for orthogonal polynomials,
Journal of Computational and Applied Mathematics, vol. 133 no. 12
(2001),
pp. 4763, ISSN 03770427 [doi] [abs]
 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
(2001),
pp. 141, ISSN 10950761 [abs]
 with Deift, P; Its, A; Kapaev, A; Zhou, X, On the algebrogeometric integration of the Schlesinger equations,
Communications in Mathematical Physics, vol. 203 no. 3
(1999),
pp. 613633 [MR2000f:34183] [abs]
 Liu, WM; Zhang, WS; Pu, FC; Zhou, X, Nonlinear magnetization dynamics of the classical ferromagnet with two singleion anisotropies in an external magnetic field,
Physical Review B  Condensed Matter and Materials Physics, vol. 60 no. 18
(1999),
pp. 1289312911 [abs]
 with Cheng, PJ; Venakides, S; Zhou, X, Longtime asymptotics for the pure radiation solution of the sineGordon equation,
Communications in Partial Differential Equations, vol. 24 no. 78
(1999),
pp. 11951262 [MR2000j:35192]
 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
(1999),
pp. 13351425 [MR1702716] [abs]
 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
(1999),
pp. 14911552 [abs]
 Zhou, X, L^{2}Sobolev space bijectivity of the scattering and inverse scattering transforms,
Communications on Pure & Applied Mathematics, vol. 51 no. 7
(July, 1998), ISSN 00103640
 Deift, P; Venakides, S; Zhou, X, An extension of the steepest descent method for RiemannHilbert problems: the small dispersion limit of the Kortewegde Vries (KdV) equation.,
Proceedings of the National Academy of Sciences of USA, vol. 95 no. 2
(January, 1998),
pp. 450454, ISSN 00278424 [11038618] [abs]
 Zhou, X, L^{2}Sobolev space bijectivity of the scattering and inverse scattering transforms,
Communications on Pure and Applied Mathematics, vol. 51 no. 7
(1998),
pp. X730, ISSN 00103640
 Deift, P; Zhou, X, Near integrable systems on the line. A case studypertubation theory of the defocusing nonlinear Schrödinger equation,
Mathematical Research Letters, vol. 4 no. 5
(1997),
pp. 761772
 Zhou, X, Strong regularizing effect of integrable systems,
Communications in Partial Differential Equations, vol. 22 no. 34
(1997),
pp. 503526 [MR98b:35197]
 Deift, PA; Its, AR; Zhou, X, A RiemannHilbert 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
(1997),
pp. 149235, ISSN 0003486X
 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
(1997),
pp. X782 [MR99g:34038]
 Deift, P; Venakides, S; Zhou, X, New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for RiemannHilbert Problems,
International Mathematics Research Notices no. 6
(1997),
pp. 284299 [MR98b:35155]
 Deift, P; Kamvissis, S; Kriecherbauer, T; Zhou, X, The toda rarefaction problem,
Communications on Pure and Applied Mathematics, vol. 49 no. 1
(1996),
pp. 3583 [MR97e:34023] [abs]
 Xin, Z, Inverse Scattering Transform for Systems with Rational Spectral Dependence,
Journal of Differential Equations, vol. 115 no. 2
(1995),
pp. 277303, ISSN 00220396 [MR95k:34023], [doi] [abs]
 Deift, PA; Zhou, X, Asymptotics for the painlevé II equation,
Communications on Pure & Applied Mathematics, vol. 48 no. 3
(1995),
pp. 277337 [MR96d:34004], [doi]
 Deift, P; Venakides, S; Zhou, X, The collisionless shock region for the long‐time behavior of solutions of the KdV equation,
Communications on Pure & Applied Mathematics, vol. 47 no. 2
(January, 1994),
pp. 199206 [MR95f:35220], [doi] [abs]
 Deift, PA; Zhou, X, Longtime asymptotics for integrable systems. Higher order theory,
Communications in Mathematical Physics, vol. 165 no. 1
(1994),
pp. 175191, ISSN 00103616 [MR95h:35215], [doi] [abs]
 Deift, P; Zhou, X, A steepest descent method\\ for oscillatory RiemannHilbert problems,
Bulletin of the American Mathematical Society, vol. 26 no. 1
(January, 1992),
pp. 119125, ISSN 02730979 [MR92g:35171], [doi]
 Fokas, AS; Mugan, U; Zhou, X, On the solvability of Painleve I, III and V,
Inverse Problems, vol. 8 no. 5
(1992),
pp. 757785, ISSN 02665611 [doi] [abs]
 Fokas, AS; Zhou, X, On the solvability of Painlevé II and IV,
Communications in Mathematical Physics, vol. 144 no. 3
(1992),
pp. 601622, ISSN 00103616 [doi] [abs]
 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
(1990),
pp. 551564, ISSN 00103616 [MR91j:34138], [doi] [abs]
 Percy Deift and Xin Zhou, Perturbation theory for infinite dimensional integrable systems on the line. A case study,
ACTA Math. preprint 2000
 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, 14911552.
[MR1711036]
 with P. Deift, Asymptotics for Oscillatory RiemannHilbertProblems,
CCAST (Beijing), Proc. CCAST, 1999.
 P. Deift, S. Venakides, Xin Zhou, An extension of the steepest descent method for RiemannHilbert problems: the small dispersion limit of the Kortewegde Vries,
Proc. Natl. Acad. Sc. USA, 95, no. 2, 450454 (1998)
[MR98m:65181]
 Xin Zhou, The L2Sobolev space bijectivity of the scattering and inverse scattering transforms,
Comm. Pure Appl. Math., vol. LI, 697731 (1998)
[MR2000c:34220]
 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.
[MR99m:42038]
 P. Deift, A. Its, Xin Zhou, A RiemannHilbert 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, 149235 (1997)
[MR98k:47097]
 P. Deift, Xin Zhou, Near integrable systems on the line. A case studyperturbation theory of the defocusing nonlinear Schroedinger equation,
Math. Res. Lett. 4, no. 5, 761772 (1997).
[MR98j:35167]
 Deift, P. and Xin Zhou, Longtime asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field,
Singular limits of dispersive waves (Lyon, 1991), 183201, NATO Adv. Sci. Inst. Ser. B Phys. 320, Plenum, New York, 1994.
[MR96b:82020]
 Deift, P. and Xin Zhou, Asymptotics for the Painleve II equation: announcement of result,
Spectral and scattering theory and applications, 1726, Adv. Stud. Pure Math. 23, Math. Soc. Japan, Tokyo, 1994
[MR95d:34006]
 Beals, R., Deift, P., and Xin Zhou, The inverse scattering transform on the line,
Important Developments in Soliton Theory, 732, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993.
[MR95k:34020]
 Deift, P., Its, A. and Xin Zhou, Longtime asymptotics for integrable nonlinear wave equations,
Important Developments in Soliton Theory, 181204, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993
[MR95h:35031]
 Deift, P. and Xin Zhou, A steepest descent method for oscillatory RiemannHilbert problems. Asymptotics for the MKdV equation,
Ann. of Math. (2) 137 (1993), 295368
[MR94d:35143]
 Fokas, A., Mugan, U. and Xin Zhou, On the solvability of Painleve I, III and V,
Inverse Problems 8 (1992), no. 5, 757785
[MR93h:35154]
 Fokas, A. and Xin Zhou, On the solvability of Painleve II and IV,
Comm. Math. Phys. 144 (3) (1992), 601622
[MR93d:34004]
 Deift, P. and Xin Zhou, Direct and inverse scattering on the line with arbitrary singularities,
Comm. Pure Appl. Math. 44 (1991), 485533
[MR92g:34112]
 Fokas, A., Its, A. and Xin Zhou, Continuous and discrete Painleve equations,
Painleve transcendents (SainteAdele, PQ, 1990), 3447, NATO Adv. Sci. Inst. Ser. B Phys., 278, Plenum, New York, 1992
[MR94h:35226]
 Xin Zhou, Direct and inverse scattering transforms with arbitrary spectral singularities,
Comm. Pure Appl. Math. 42 (1989), 895938
[MR90k:34028]
 Xin Zhou, The RiemannHilbert problem and inverse scattering,
SIAM J. Math. Anal. 20 (1989), 966986
[MR90i:34046]
 Pu, F., Li, B. and Xin Zhou, Multisoliton solutions for a classical ferromagnetic chain,
Comm. Theoret. Phys. 2 (1983), 797802
[MR85b:82010]
Papers Accepted
 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. 34
(2008),
pp. 187364, ISSN 13850172 [doi] [abs]
 with Deift, P; Its, A; Krasovsky, I, The WidpmDyson constant for the gap probability in random matrix theory,
a special edition of the Journal of Computational and Applied Mathematics
(2006)
 with McLaughlin, KTR; Vartanian, AH, Asymptotics of Orthogonal Laurent Polynomials of Even Degree with Respect to Varying Exponential Weights,
IMRN
(2006)
Preprints
 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


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Mathematics Department
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