7 citations · 13 across the 6 of their papers we have counts for
6 papers
Janossy densities for Unitary ensembles at the spectral edge
Brian Rider, Xin Zhou
For a broad class of unitary ensembles of random matrices we demonstrate the universal nature of the Janossy densities of eigenvalues near the spectral edge, providing a different…
The Widom-Dyson constant for the gap probability in random matrix theory
P. Deift, A. Its, I. Krasovsky +1
In this paper we consider an asymptotic question in the theory of the Gaussian Unitary Ensemble of random matrices. In the bulk scaling limit, the probability that there are no eig…
Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
P. Deift, X. Zhou
The authors compute the long-time asymptotics for solutions of the NLS equation just under the assumption that the initial data lies in a weighted Sobolev space. In earlier work (s…
A priori estimates for solutions of Riemann-Hilbert Problems
P. Deift, X. Zhou
The authors use steepest descent ideas to obtain a priori estimates for solutions of Riemann-Hilbert Problems. Such estimates play a crucial role, in particular, in analyzing…
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…
A steepest descent method for oscillatory Riemann-Hilbert problems
Percy Deift, Xin Zhou
In this announcement we present a general and new approach to analyzing the asymptotics of oscillatory Riemann-Hilbert problems. Such problems arise, in particular, in evaluating t…