K
Kenneth D.T-R McLaughlin
Researcher at Colorado State University
Publications - 62
Citations - 4133
Kenneth D.T-R McLaughlin is an academic researcher from Colorado State University. The author has contributed to research in topics: Orthogonal polynomials & Discrete orthogonal polynomials. The author has an hindex of 24, co-authored 62 publications receiving 3864 citations. Previous affiliations of Kenneth D.T-R McLaughlin include Princeton University & Ohio State University.
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Correlation Functions for a Chain of Short Range Oscillators
TL;DR: In this article, the authors consider a system of harmonic oscillators with short range interactions and study their correlation functions when the initial data is sampled with respect to the Gibbs measure, and they show that the correlation functions always have two fastest peaks which move in opposite directions and decay at rate $$t^{-\frac{1}{3}}$$ for position and momentum correlations and as $$t−−1−2−3}} for energy correlations.
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Dynamic behavior of the roots of the taylor polynomials of the riemann xi function with growing degree
TL;DR: In this article, the Taylor polynomials of the xi function of Riemann have been approximated to the Hurwitz zeros of the Taylor function by a super-exponential convergence.
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Long Time Asymptotic Behavior of the Focusing Nonlinear Schrodinger Equation
TL;DR: In this paper, the authors studied the Cauchy problem for the focusing nonlinear Schrodinger (NLS) equation using DBAR generalization of the nonlinear steepest descent method and computed the long time asymptotic expansion of the solution in any fixed space-time cone up to an (optimal) residual error of order O(t^(-3/4).
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Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
TL;DR: In this article, the strong asymptotic of the orthogonal polynomials in the complex plane and the location of their zeros in a scaling limit where $n$ grows to infinity with $N$ were obtained.