K. Mclaughlin

activity

19952023

most citedUniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles

45 citations · 215 across the 31 of their papers we have counts for

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Showing 2001Show all

2 papers · 1 filter

math.PR2001★ 1 cited

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…

math.CA2001★ 1 cited

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

A. B. J. Kuijlaars, K. T-R McLaughlin, W. Van Assche +1

We consider polynomials that are orthogonal on $[- 1, 1]$ with respect to a modified Jacobi weight $(1 - x)^{α} (1 + x)^{β} h (x)$ , with $α, β > - 1$ and $h$ real analytic and stricly positive on $…