Kenneth Dean Mclaughlin

Possui doutorado em Doutorado em Matematica - Courant Institute (1994).

Informações coletadas do Lattes em 10/11/2022

Acadêmico

Formação acadêmica

Doutorado em Doutorado em Matematica

1990 - 1994

Courant Institute
Título: A Continuum Limit of the Toda Lattice
Orientador: Percy Deift
Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise / Especialidade: Equações Diferenciais Ordinárias. Grande Área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Análise / Especialidade: Equações Diferenciais Parciais.

Produções bibliográficas

Kriecherbauer, T. ; Kuijlaars, A. B. J. ; McLaughlin, K. D. T.-R. ; Miller, P. D. . Locating the zeros of partial sums of $e\sp z$ with Riemann-Hilbert methods. Contemporary Mathematics. American Mathematical Society , v. 458, p. 183-195, 2008.
McLaughlin, K. D. 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. Mathematical Physics, Analysis and Geometry , v. 11, p. 187-364, 2008.
McLaughlin, K. D. T.-R. ; Miller, P. D. . The d-bar Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights. International Mathematics Research Notices , v. 2008, p. 1-66, 2008.
Ercolani, N. M. ; McLaughlin, K. D. T.-R. . A quick derivation of the loop equations for random matrices. Mathematical Sciences Research Institute Publications , v. 55, p. 185-198, 2008.
Ercolani, N. M. ; McLaughlin, K. D. T.-R. ; Pierce, V. U. . Random Matrices, Graphical Enumeration and the Continuum Limit of Toda Lattices. Communications in Mathematical Physics , v. 278, p. 31-81, 2008.
McLaughlin, K. D. 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. Acta Applicandae Mathematicae , v. 100, p. 39-104, 2008.
McLaughlin, K. D. T.-R. ; Vartanian, A. H. ; Zhou, X. . Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential. Constructive Approximation , v. 27, p. 149-202, 2008.
McLaughlin, K. D. T.-R. . Asymptotic analysis of random matrices with external source and a family of algebraic curves. Nonlinearity (Bristol) , v. 20, p. 1547-1571, 2007.
Baik, J. ; Kriecherbauer, T. ; McLaughlin, K. D. T.-R. ; Miller, P. D. . Discrete orthogonal polynomials. Asymptotics and applications.. Annals of Mathematics Studies , v. 164, p. 1-184, 2007.
McLaughlin, K. D. T.-R. ; Vartanian, A. H. ; Zhou, X. . Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights. International Mathematics Research Papers , v. 2006, p. 1-216, 2006.
Martinez-Finkelshtein, A. ; McLaughlin, K. D. T.-R. ; Saff, E. B. . Szego Orthogonal Polynomials with Respect to an Analytic Weight: Canonical Representation and Strong Asymptotics. Constructive Approximation , v. 24, p. 319-363, 2006.
Martinez-Finkelshtein, A. ; McLaughlin, K. D. T.-R. ; Saff, E. B. . Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. International Mathematics Research Notices , v. 2006, p. 1-43, 2006.
McLaughlin, K. D. T.-R. ; Miller, P. D. . The d-bar steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights. International Mathematics Research Papers , v. 2006, p. 1-78, 2006.
DiFranco, Jeffery C. ; McLaughlin, K. D. T.-R. . A nonlinear Gibbs-type phenomenon for the defocusing nonlinear Schrödinger equation. International Mathematics Research Papers , v. 2005, p. 403-459, 2005.
Kuijlaars, A. B. J. ; McLaughlin, K. D. T.-R. . A Riemann Hilbert problem for biorthogonal polynomials. Journal of Computational and Applied Mathematics , v. 178, p. 313-320, 2005.
Kuijlaars, A. B. J. ; McLaughlin, K. D. T.-R. ; Van Assche, W. ; Vanlessen, M. . The Riemann Hilbert approach to strong asymptotics for orthogonal polynomials on [−1,1]. Advances in Mathematics (New York) , v. 188, p. 337-398, 2004.
Kuijlaars, A. B. J. ; McLaughlin, K. D. T.-R. . Asymptotic Zero Behavior of Laguerre Polynomials with Negative Parameter. Constructive Approximation , v. 20, p. 497-523, 2004.
Kamvissis, S. ; McLaughlin, K. D. T.-R. ; Miller, P. D. . Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. Annals of Mathematics Studies , v. 2003, p. 1-265, 2003.
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. International Mathematics Research Notices , v. 2003, p. 755-820, 2003.
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. International Mathematics Research Notices , v. 2003, p. 821-858, 2003.