Recent articles, available from arXiv.org

1. math-ph/0610050 [abs, ps, pdf, other] :
Title: Asymptotic analysis of random matrices with external source and a family of algebraic curves
Authors: K. D. T-R McLaughlin  
2. math-ph/0609048 [abs, ps, pdf, other] :
Title: A Quick Derivation of the Loop Equations for Random Matrices
Authors: N. M. Ercolani, K. D. T-R McLaughlin
Comments: Submitted to the MSRI Volume related to the Workshop "Probability, Geometry and Integrable Systems", in celebration of Henry McKean's 75th birthday  
3. math-ph/0606010 [abs, ps, pdf, other] :
Title: Random Matrices, Graphical Enumeration and the Continuum Limit of Toda Lattices
Authors: N. M. Ercolani, K. D. T-R McLaughlin, V. U. Pierce
Comments: 41 pages, 1 table  
4. math.CA/0605715 [abs, ps, pdf, other] :
Title: Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle
Authors: A. Martinez-Finkelshtein, K. T.-R. McLaughlin, E. B. Saff
Comments: 36 pages, 9 figures  
5. math.CA/0602202 [abs, ps, pdf, other] :
Title: Asymptotics of Recurrence Relation Coefficients, Hankel Determinant Ratios, and Root Products Associated with Laurent Polynomials Orthogonal with Respect to Varying Exponential Weights
Authors: K. T.-R. McLaughlin, A. H. Vartanian, X. Zhou  
6. math.CA/0601595 [abs, ps, pdf, other] :
Title: Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential Weights
Authors: K. T.-R. McLaughlin, A. H. Vartanian, X. Zhou  
7. math.CA/0601306 [abs, ps, pdf, other] :
Title: Asymptotics of Laurent Polynomials of Even Degree Orthogonal with Respect to Varying Exponential Weights
Authors: K. T.-R. McLaughlin, A. H. Vartanian, X. Zhou  


publications as listed on the AMS Mathscinet


MR2253536 McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X. Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights. IMRP Int. Math. Res. Pap. 2006, Art. ID 62815, 216 pp. 33C47 (30E05 42C05 44A60) PDF Doc Del Journal

MR2253965 Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. Szegö orthogonal polynomials with respect to an analytic weight: canonical representation and strong asymptotics. Constr. Approx. 24 (2006), no. 3, 319--363. 42C05 (30Exx 41A35 41A60) PDF Doc Del Journal Article

MR2250012 Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Int. Math. Res. Not. 2006, Art. ID 91426, 43 pp. 42C05 (30C10 33Cxx 41A60 47B35) PDF Doc Del Journal

MR2219316 McLaughlin, K. T.-R.; Miller, P. D. The $\overline{\partial}$ steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights. IMRP Int. Math. Res. Pap. 2006, Art. ID 48673, 1--77. 30E25 (33C47) PDF Doc Del Journal

MR2227850 McLaughlin, Kenneth D. T.-R. Applications of a complete expansion for the partition function of random matrix theory. XIVth International Congress on Mathematical Physics, 364--371, World Sci. Publ., Hackensack, NJ, 2005. 82B44 (82-02 82B41) PDF Doc Del

MR2204638 (2006k:35272) DiFranco, Jeffery C.; McLaughlin, Kenneth T.-R. A nonlinear Gibbs-type phenomenon for the defocusing nonlinear Schrödinger equation. IMRP Int. Math. Res. Pap. 2005, no. 8, 403--459. (Reviewer: Justin A. Holmer) 35Q55 (37K15) PDF Doc Del Journal

MR2127887 (2006a:15046) Kuijlaars, A. B. J.; McLaughlin, K. T.-R. A Riemann-Hilbert problem for biorthogonal polynomials. J. Comput. Appl. Math. 178 (2005), no. 1-2, 313--320. (Reviewer: Heinrich Begehr) 15A52 (33C45 82B31) PDF Doc Del Journal Article

MR2085853 (2006d:33016) McLaughlin, Kenneth Introduction to asymptotics for orthogonal polynomials via Riemann-Hilbert methods. Laredo Lectures on Orthogonal Polynomials and Special Functions, 85--109, Adv. Theory Spec. Funct. Orthogonal Polynomials, Nova Sci. Publ., Hauppauge, NY, 2004. 33C45 (33-02 42C05) PDF Doc Del

MR2087231 (2005i:33011) Kuijlaars, A. B. J.; McLaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on $[-1,1]$. Adv. Math. 188 (2004), no. 2, 337--398. (Reviewer: Heinrich Begehr) 33C45 (30E25 37K15 42C05) PDF Doc Del Journal Article

MR2078083 (2005g:33016) Kuijlaars, A. B. J.; McLaughlin, K. T.-R. Asymptotic zero behavior of Laguerre polynomials with negative parameter. Constr. Approx. 20 (2004), no. 4, 497--523. (Reviewer: N. K. Thakare) 33C45 (30C10 30C15 30E25) PDF Doc Del Journal Article

MR1991591 (2004d:00022) Recent developments in integrable systems and Riemann-Hilbert problems. Papers from the AMS Special Session on Integrable Systems and Riemann-Hilbert Problems held at the University of Alabama, Birmingham, AL, November 10--12, 2000. Edited by Kenneth D. T.-R. McLaughlin and Xin Zhou. Contemporary Mathematics, 326. American Mathematical Society, Providence, RI, 2003. viii+185 pp. ISBN: 0-8218-3203-4 00B25 (30-06 35-06 37-06 37K15 37K40) PDF Doc Del

MR1999840 (2004h:37115) Kamvissis, Spyridon; McLaughlin, Kenneth D. T.-R.; Miller, Peter D. Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. Annals of Mathematics Studies, 154. Princeton University Press, Princeton, NJ, 2003. xii+265 pp. ISBN: 0-691-11483-8; 0-691-11482-X (Reviewer: Dmitry E. Pelinovsky) 37K15 (35Q51 35Q55 37K40 78A60 81Q20) PDF Doc Del

MR1953782 (2005f:82048) Ercolani, N. M.; McLaughlin, K. D. T.-R. Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration. Int. Math. Res. Not. 2003, no. 14, 755--820. (Reviewer: Arno B. J. Kuijlaars) 82B44 (05C30 15A52 28A25 30E20 30E25 58D30 60K35) PDF Doc Del Journal Article

MR1952523 (2004e:41038) Baik, J.; Kriecherbauer, T.; McLaughlin, K. D. T.-R.; Miller, P. D. Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: announcement of results. Int. Math. Res. Not. 2003, no. 15, 821--858. (Reviewer: Peter D. Dragnev) 41A60 (30C10 33C45 42C05 82B05) PDF Doc Del Journal Article

MR1901063 (2004e:37002) Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R. The nonlinear Schrödinger equation as both a PDE and a dynamical system. Handbook of dynamical systems, Vol. 2, 599--675, North-Holland, Amsterdam, 2002. (Reviewer: Avy Soffer) 37-02 (35Q55 37K10 37K15 37L05) PDF Doc Del

MR1931612 (2003k:30059) Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R. Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Comput. Methods Funct. Theory 1 (2001), no. 1, 205--233. (Reviewer: S. Bhargava) 30E15 (30C10 30C15 30E25 33C45) PDF Doc Del Journal

MR1926668 (2003h:60141) Baik, Jinho; Deift, Percy; McLaughlin, Ken T.-R.; Miller, Peter; Zhou, Xin Optimal tail estimates for directed last passage site percolation with geometric random variables. Adv. Theor. Math. Phys. 5 (2001), no. 6, 1207--1250. (Reviewer: Peter Eichelsbacher) 60K35 (60E15 82B43) PDF Doc Del Journal

MR1858269 (2002h:42044) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications (Patras, 1999). J. Comput. Appl. Math. 133 (2001), no. 1-2, 47--63. (Reviewer: V. Totik) 42C05 (30E20 30E25 33C45) PDF Doc Del Journal Article

MR1845326 (2002i:37109) Kuijlaars, A. B. J.; McLaughlin, K. T.-R. Long time behavior of the continuum limit of the Toda lattice, and the generation of infinitely many gaps from $C\sp \infty$ initial data. Comm. Math. Phys. 221 (2001), no. 2, 305--333. (Reviewer: Steven B. Damelin) 37K10 (35B40 35Q58 37K40 37K60) PDF Doc Del Journal Article

MR1837912 (2002g:81148) Ercolani, Nicholas M.; McLaughlin, Kenneth T.-R. Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model. Advances in nonlinear mathematics and science. Phys. D 152/153 (2001), 232--268. (Reviewer: Thomas Kriecherbauer) 81T40 (15A52 33E99 34M50 37K10 81T30 82B41) PDF Doc Del Journal Article

MR1744002 (2001f:31003) Kuijlaars, A. B. J.; McLaughlin, K. T-R Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields. Comm. Pure Appl. Math. 53 (2000), no. 6, 736--785. (Reviewer: V. Totik) 31A15 (37K10 42C05 82B10) PDF Doc Del Journal Article

MR1738961 (2000i:78037) Forest, M. Gregory; Kutz, J. Nathan; McLaughlin, Ken R.-T. Nonsoliton pulse evolution in normally dispersive fibers. J. Opt. Soc. Amer. B Opt. Phys. 16 (1999), no. 11, 1856--1862. 78A60 PDF Doc Del Journal

MR1711036 (2001f:42037) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R; Venakides, S.; Zhou, X. Strong asymptotics of orthogonal polynomials with respect to exponential weights. Comm. Pure Appl. Math. 52 (1999), no. 12, 1491--1552. (Reviewer: D. S. Lubinsky) 42C05 PDF Doc Del Journal Article

MR1707885 (2000e:78024) Wright, Otis C.; Forest, M. Gregory; McLaughlin, K. T.-R. On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation. Phys. Lett. A 257 (1999), no. 3-4, 170--174. 78A60 (35C05 35Q55) PDF Doc Del Journal Article

MR1702716 (2001g:42050) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math. 52 (1999), no. 11, 1335--1425. (Reviewer: D. S. Lubinsky) 42C05 (15A52 41A60 82B41) PDF Doc Del Journal Article

MR1680380 (2000h:33016) Kriecherbauer, T.; McLaughlin, K. T.-R. Strong asymptotics of polynomials orthogonal with respect to Freud weights. Internat. Math. Res. Notices 1999, no. 6, 299--333. (Reviewer: Heinrich Begehr) 33D45 (30E25 47G10) PDF Doc Del Journal Article

MR1657691 (2000j:31003) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R. New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory 95 (1998), no. 3, 388--475. (Reviewer: John Albert) 31A99 (34A55 34L25 34M99 41A10 45E05) PDF Doc Del Journal Article

MR1648182 (99m:42038) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Uniform asymptotics for orthogonal polynomials. Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998). Doc. Math. 1998, Extra Vol. III, 491--501 (electronic). (Reviewer: V. Totik) 42C05 (45E05 81Q99) PDF Doc Del Journal

MR1604563 (98k:35197) Forest, M. G.; McLaughlin, K. T.-R. Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. J. Nonlinear Sci. 8 (1998), no. 1, 43--62. (Reviewer: Victor V. Zharinov) 35Q99 (78A60) PDF Doc Del Journal Article

MR1492693 (99c:31006) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method. Recent advances in partial differential equations, Venice 1996, 87--104, Proc. Sympos. Appl. Math., 54, Amer. Math. Soc., Providence, RI, 1998. (Reviewer: Heinrich Begehr) 31A99 (41A99 60K99) PDF Doc Del

MR1407901 (98h:58076) Deift, P.; McLaughlin, K. T-R A continuum limit of the Toda lattice. Mem. Amer. Math. Soc. 131 (1998), no. 624, x+216 pp. (Reviewer: Alexander V. Shapovalov) 58F07 (35Q53) PDF Doc Del

MR1472344 (99g:34038) Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R; Venakides, S.; Zhou, X. Asymptotics for polynomials orthogonal with respect to varying exponential weights. Internat. Math. Res. Notices 1997, no. 16, 759--782. (Reviewer: Alexander Vladimirovich Kitaev) 34A55 (15A52 34L25 35Q53 82B44) PDF Doc Del Journal Article

MR1392145 (97d:58098) Kodama, Y.; McLaughlin, K. T-R Explicit integration of the full symmetric Toda hierarchy and the sorting property. Lett. Math. Phys. 37 (1996), no. 1, 37--47. (Reviewer: Andrey V. Tsiganov) 58F07 PDF Doc Del Article

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