45 citations · 71 across the 5 of their papers we have counts for
7 papers
Szegő orthogonal polynomials with respect to an analytic weight: canonical representation and strong asymptotics
A. Martinez-Finkelshtein, K. T. -R. McLaughlin, E. B. Saff
We provide a representation in terms of certain canonical functions for a sequence of polynomials orthogonal with respect to a weight that is strictly positive and analytic on the…
The dbar steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
K. T. -R. McLaughlin, P. D. Miller
We develop a new asymptotic method for the analysis of matrix Riemann-Hilbert problems. Our method is a generalization of the steepest descent method first proposed by Deift and Zh…
Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles
J. Baik, T. Kriecherbauer, K. T. -R. McLaughlin +1
This is the full version of "Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: A…
Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: Announcement of Results
Jinho Baik, Thomas Kriecherbauer, Ken T. -R. McLaughlin +1
We compute the pointwise asymptotics of orthogonal polynomials with respect to a general class of pure point measures supported on finite sets as both the number of nodes of the me…
Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques, and applications to graphical enumeration
N. M. Ercolani, K. D. T-R McLaughlin
We study the partition function from random matrix theory using a well known connection to orthogonal polynomials, and a recently developed Riemann-Hilbert approach to the computat…
Optimal tail estimates for directed last passage site percolation with geometric random variables
Jinho Baik, Percy Deift, Ken McLaughlin +2
In this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site p…