Amdeberhan, Tewodros; Moll, Victor H.; Santander, John Lopez; McLaughlin, Ken; Koutschan, Christoph Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik. (English) Zbl 1527.35341 Physica D 456, Article ID 133909, 7 p. (2023). MSC: 35Q53 33E05 35B40 35C08 35C06 35F10 68W30 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Physica D 456, Article ID 133909, 7 p. (2023; Zbl 1527.35341) Full Text: DOI arXiv
Girotti, M.; Grava, T.; Jenkins, R.; McLaughlin, K. D. T.-R. Rigorous asymptotics of a KdV soliton gas. (English) Zbl 1470.37094 Commun. Math. Phys. 384, No. 2, 733-784 (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K40 37K10 37K20 35Q53 35Q15 PDFBibTeX XMLCite \textit{M. Girotti} et al., Commun. Math. Phys. 384, No. 2, 733--784 (2021; Zbl 1470.37094) Full Text: DOI arXiv
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X. Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I. (English) Zbl 1178.30046 Math. Phys. Anal. Geom. 11, No. 3-4, 187-364 (2008). MSC: 30E20 30E25 30C15 42C05 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} et al., Math. Phys. Anal. Geom. 11, No. 3--4, 187--364 (2008; Zbl 1178.30046) Full Text: DOI
McLaughlin, K. T.-R.; Miller, P. D. The \(\bar{\partial}\) steepest descent method for orthogonal polynomials on the real line with varying weights. (English) Zbl 1157.42007 Int. Math. Res. Not. 2008, Article ID rnn075, 66 p. (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 41A60 35Q15 30E25 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} and \textit{P. D. Miller}, Int. Math. Res. Not. 2008, Article ID rnn075, 66 p. (2008; Zbl 1157.42007) Full Text: DOI arXiv
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X. Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights. (English) Zbl 1149.42020 Acta Appl. Math. 100, No. 1, 39-104 (2008). MSC: 42C05 47B36 30C15 41A60 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} et al., Acta Appl. Math. 100, No. 1, 39--104 (2008; Zbl 1149.42020) Full Text: DOI arXiv
Baik, J.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Miller, P. D. Discrete orthogonal polynomials. Asymptotics and applications. (English) Zbl 1119.41001 Annals of Mathematics Studies 164. Princeton, NJ: Princeton University Press (ISBN 978-0-691-12734-7/pbk; 978-0-691-12733-0/hbk). vi, 170 p. (2007). Reviewer: H.-J. Glaeske (Jena) MSC: 41-02 41A60 30-02 PDFBibTeX XMLCite \textit{J. Baik} et al., Discrete orthogonal polynomials. Asymptotics and applications. Princeton, NJ: Princeton University Press (2007; Zbl 1119.41001) Full Text: DOI
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]. (English) Zbl 1082.42017 Adv. Math. 188, No. 2, 337-398 (2004). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 42C05 30E25 33C10 35Q15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Adv. Math. 188, No. 2, 337--398 (2004; Zbl 1082.42017) Full Text: DOI arXiv
Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R. The nonlinear Schrödinger equation as both a PDE and a dynamical system. (English) Zbl 1004.35111 Fiedler, Bernold (ed.), Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 599-675 (2002). Reviewer: A.Cichocka (Katowice) MSC: 35Q55 37N20 35-02 PDFBibTeX XMLCite \textit{D. Cai} et al., in: Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 599--675 (2002; Zbl 1004.35111)
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R. Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. (English) Zbl 1035.30027 Comput. Methods Funct. Theory 1, No. 1, 205-233 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 30E15 33C45 30C10 30C15 30E25 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{K. T. R. McLaughlin}, Comput. Methods Funct. Theory 1, No. 1, 205--233 (2001; Zbl 1035.30027) Full Text: DOI arXiv
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. (English) Zbl 1041.42018 J. Comput. Appl. Math. 133, No. 1-2, 47-63 (2001). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 42C05 30E15 41A60 PDFBibTeX XMLCite \textit{P. Deift} et al., J. Comput. Appl. Math. 133, No. 1--2, 47--63 (2001; Zbl 1041.42018) Full Text: DOI
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Strong asymptotics of orthogonal polynomials with respect to exponential weights. (English) Zbl 1026.42024 Commun. Pure Appl. Math. 52, No. 12, 1491-1552 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30E25 35Q15 PDFBibTeX XMLCite \textit{P. Deift} et al., Commun. Pure Appl. Math. 52, No. 12, 1491--1552 (1999; Zbl 1026.42024)
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. (English) Zbl 0944.42013 Commun. Pure Appl. Math. 52, No. 11, 1335-1425 (1999). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 15B52 41A60 82B41 PDFBibTeX XMLCite \textit{P. Deift} et al., Commun. Pure Appl. Math. 52, No. 11, 1335--1425 (1999; Zbl 0944.42013) Full Text: DOI
Kriecherbauer, T.; McLaughlin, K. T.-R. Strong asymptotics of polynomials orthogonal with respect to Freud weights. (English) Zbl 0944.42014 Int. Math. Res. Not. 1999, No. 6, 299-333 (1999). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 PDFBibTeX XMLCite \textit{T. Kriecherbauer} and \textit{K. T. R. McLaughlin}, Int. Math. Res. Not. 1999, No. 6, 299--333 (1999; Zbl 0944.42014) Full Text: DOI
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Uniform asymptotics for orthogonal polynomials. (English) Zbl 0906.42011 Doc. Math., Extra Vol. ICM Berlin 1998, vol. III, 491-501 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 33C45 30E15 30E25 PDFBibTeX XMLCite \textit{P. Deift} et al., Doc. Math. Extra Vol., 491--501 (1998; Zbl 0906.42011) Full Text: EuDML EMIS
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Asymptotics for polynomials orthogonal with respect to varying exponential weights. (English) Zbl 0897.42015 Int. Math. Res. Not. 1997, No. 16, 759-782 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E15 41A60 PDFBibTeX XMLCite \textit{P. Deift} et al., Int. Math. Res. Not. 1997, No. 16, 759--782 (1997; Zbl 0897.42015) Full Text: DOI