Kenneth D T Mclaughlin

  • 1938 Citations
  • 22 h-Index
19962019

Research output per year

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Research Output

  • 1938 Citations
  • 22 h-Index
  • 39 Article
  • 3 Chapter
  • 2 Review article
2019
2 Scopus citations

Spectral approach to the scattering map for the semi-classical defocusing Davey–Stewartson II equation

Klein, C., McLaughlin, K. & Stoilov, N., Dec 15 2019, In : Physica D: Nonlinear Phenomena. 400, 132126.

Research output: Contribution to journalArticle

1 Scopus citations
2018

Behavior of the Roots of the Taylor Polynomials of Riemann’s ξ Function with Growing Degree

Jenkins, R. & Mclaughlin, K. D. T., Feb 9 2018, (Accepted/In press) In : Constructive Approximation. p. 1-29 29 p.

Research output: Contribution to journalArticle

Long time asymptotic behavior of the focusing nonlinear Schrödinger equation

Borghese, M., Jenkins, R. & McLaughlin, K. D. T. R., Jul 2018, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 35, 4, p. 887-920 34 p.

Research output: Contribution to journalArticle

7 Scopus citations
2017

Spectral Approach to D-bar Problems

Klein, C. & Mclaughlin, K. D. T., Jun 1 2017, In : Communications on Pure and Applied Mathematics. 70, 6, p. 1052-1083 32 p.

Research output: Contribution to journalArticle

3 Scopus citations
2015

Asymptotics for the Partition Function in Two-Cut Random Matrix Models

Claeys, T., Grava, T. & Mclaughlin, K. D. T., Oct 25 2015, In : Communications in Mathematical Physics. 339, 2, p. 513-587 75 p.

Research output: Contribution to journalArticle

4 Scopus citations

Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane

Balogh, F., Bertola, M., Lee, S. Y. & Mclaughlin, K. D. T. R., Jan 1 2015, In : Communications on Pure and Applied Mathematics. 68, 1, p. 112-172 61 p.

Research output: Contribution to journalArticle

11 Scopus citations
2014

Semiclassical limit of focusing NLS for a family of square barrier initial data

Jenkins, R. & Mclaughlin, K. D. T. R., Feb 1 2014, In : Communications on Pure and Applied Mathematics. 67, 2, p. 246-320 75 p.

Research output: Contribution to journalArticle

20 Scopus citations
2010

Solutions to the nonlinear Schrödinger equation with sequences of initial data converging to a Dirac mass

Newport, J. P. & McLaughlin, K. D. T. R., Nov 1 2010, In : Physica D: Nonlinear Phenomena. 239, 23-24, p. 2050-2056 7 p.

Research output: Contribution to journalArticle

2008

Asymptotics of laurent polynomials of odd degree orthogonal with respect to varying exponential weights

McLaughlin, K. T. R., Vartanian, A. H. & Zhou, X., Mar 1 2008, In : Constructive Approximation. 27, 2, p. 149-202 54 p.

Research output: Contribution to journalArticle

5 Scopus citations
2 Scopus citations

Random matrices, graphical enumeration and the continuum limit of toda lattices

Ercolani, N. M., McLaughlin, K. D. T. R. & Pierce, V. U., Feb 1 2008, In : Communications in Mathematical Physics. 278, 1, p. 31-81 51 p.

Research output: Contribution to journalArticle

16 Scopus citations
1 Scopus citations
31 Scopus citations
2007

Asymptotic analysis of random matrices with external source and a family of algebraic curves

McLaughlin, K. T. R., Jul 1 2007, In : Nonlinearity. 20, 7, p. 1547-1571 25 p., 002.

Research output: Contribution to journalArticle

18 Scopus citations

Discrete orthogonal polynomials: Asymptotics and applications

Baik, J., Kriecherbauer, T., McLaughlin, K. T. R. & Miller, P. D., Mar 1 2007, Discrete Orthogonal Polynomials: Asymptotics and Applications. 164 ed. p. 1-171 171 p. (Annals of Mathematics Studies; no. 164).

Research output: Chapter in Book/Report/Conference proceedingChapter

40 Scopus citations
2006

Applications of a complete expansion for the partition function of random matrix theory

Mclaughlin, K. D. T., Jan 1 2006, XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003. World Scientific Publishing Co., p. 364-371 8 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights

McLaughlin, K. T. R., Vartanian, A. H. & Zhou, X., Oct 18 2006, In : International Mathematics Research Papers. 2006, 62815.

Research output: Contribution to journalArticle

6 Scopus citations

Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle

Martínez-Finkelshtein, A., McLaughlin, K. T. R. & Saff, E. B., Oct 13 2006, In : International Mathematics Research Notices. 2006, 91426.

Research output: Contribution to journalArticle

18 Scopus citations

Szego orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics

Martínez-Finkelshtein, A., McLaughlin, K. T. R. & Saff, E. B., Nov 1 2006, In : Constructive Approximation. 24, 3, p. 319-363 45 p.

Research output: Contribution to journalArticle

29 Scopus citations
30 Scopus citations
2005

A nonlinear Gibbs-type phenomenon for the defocusing nonlinear Schrödinger equation

DiFranco, J. C. & McLaughlin, K. T. R., Jan 1 2005, In : International Mathematics Research Papers. 2005, p. 403-459 57 p.

Research output: Contribution to journalReview article

10 Scopus citations

A Riemann-Hilbert problem for biorthogonal polynomials

Kuijlaars, A. B. J. & McLaughlin, K. T. R., Jun 1 2005, In : Journal of Computational and Applied Mathematics. 178, 1-2 SPEC. ISS., p. 313-320 8 p.

Research output: Contribution to journalArticle

27 Scopus citations
2004

Asymptotic zero behavior of laguerre polynomials with negative parameter

Kuijlaars, A. B. J. & McLaughlin, K. T. R., Jan 1 2004, In : Constructive Approximation. 20, 4, p. 497-523 27 p.

Research output: Contribution to journalArticle

33 Scopus citations

The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

Kuijlaars, A. B. J., McLaughlin, K. T. R., Van Assche, W. & Vanlessen, M., Nov 10 2004, In : Advances in Mathematics. 188, 2, p. 337-398 62 p.

Research output: Contribution to journalArticle

134 Scopus citations

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation

Kamvissis, S., Mclaughlin, K. D. T. & Miller, P. D., 2003, In : Annals of Mathematics Studies. 154

Research output: Contribution to journalReview article

70 Scopus citations
2002

Chapter 12 The nonlinear Schrödinger equation as both a PDE and a dynamical system

Cai, D., McLaughlin, D. W. & McLaughlin, K. T. R., Jan 1 2002, Handbook of Dynamical Systems. Elsevier, p. 599-675 77 p. (Handbook of Dynamical Systems; vol. 2).

Research output: Chapter in Book/Report/Conference proceedingChapter

31 Scopus citations
2001

A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials

Deift, P., Kriecherbauer, T., McLaughlin, K. R., Venakides, S. & Zhou, X., Aug 1 2001, In : Journal of Computational and Applied Mathematics. 133, 1-2, p. 47-63 17 p.

Research output: Contribution to journalArticle

23 Scopus citations
34 Scopus citations
7 Scopus citations

Optimal tail estimates for directed last passage site percolation with geometric random variables

Baik, J., Deift, P., McLaughlin, K., Miller, P. & Zhou, X., Nov 1 2001, In : Advances in Theoretical and Mathematical Physics. 5, 6, p. 1-41 41 p.

Research output: Contribution to journalArticle

39 Scopus citations
2000
75 Scopus citations
1999

Nonsoliton pulse evolution in normally dispersive fibers

Forest, M. G., Kutz, J. N. & McLaughlin, K. R. T., Nov 1999, In : Journal of the Optical Society of America B: Optical Physics. 16, 11, p. 1856-1862 7 p.

Research output: Contribution to journalArticle

11 Scopus citations
12 Scopus citations

Strong asymptotics of orthogonal polynomials with respect to exponential weights

Deift, P., Kriecherbauer, T., Mclaughlin, K. T. R., Venakides, S. & Zhou, X., Dec 1999, In : Communications on Pure and Applied Mathematics. 52, 12, p. 1491-1552 62 p.

Research output: Contribution to journalArticle

337 Scopus citations

Strong Asymptotics of Polynomials Orthogonal with Respect to Freud Weights

Kriecherbauer, T. & McLaughlin, K. T. R., Dec 1 1999, In : International Mathematics Research Notices. 1999, 6, p. 298-333 36 p.

Research output: Contribution to journalArticle

59 Scopus citations

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

Deift, P., Kriecherbauer, T., McLaughlin, K. T. R., Venakides, S. & Zhou, X., Nov 1999, In : Communications on Pure and Applied Mathematics. 52, 11, p. 1335-1425 91 p.

Research output: Contribution to journalArticle

434 Scopus citations
1998

A continuum limit of the Toda Lattice

Deift, P. & McLaughlin, K. T. R., Jan 1 1998, In : Memoirs of the American Mathematical Society. 624, p. 1-216 216 p.

Research output: Contribution to journalArticle

52 Scopus citations

New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field

Deift, P., Kriecherbauer, T. & McLaughlin, K. T. R., Dec 1 1998, In : Journal of Approximation Theory. 95, 3, p. 388-475 88 p.

Research output: Contribution to journalArticle

123 Scopus citations

Onset of Oscillations in Nonsoliton Pulses in Nonlinear Dispersive Fibers

Forest, M. G. & McLaughlin, K. T. R., Jan 1 1998, In : Journal of Nonlinear Science. 8, 1, p. 43-62 20 p.

Research output: Contribution to journalArticle

30 Scopus citations
1997

Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights

Deift, P., Kriecherbauer, T., McLaughlin, K. T. R., Venakides, S. & Zhou, X., Dec 1 1997, In : International Mathematics Research Notices. 16, p. X-782

Research output: Contribution to journalArticle

30 Scopus citations
1996

Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property

Kodama, Y. & McLaughlin, K. T. R., Jan 1 1996, In : Letters in Mathematical Physics. 37, 1, p. 37-47 11 p.

Research output: Contribution to journalArticle

13 Scopus citations