9 citations · 18 across the 4 of their papers we have counts for
8 papers
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials
Percy Deift, Jorgen Ostensson
In this paper the authors show how to use Riemann-Hilbert techniques to prove various results, some old, some new, in the theory of Toeplitz operators and orthogonal polynomials on…
Universality in Random Matrix Theory for orthogonal and symplectic ensembles
Percy Deift, Dimitri Gioev
We give a proof of the Universality Conjecture for orthogonal and symplectic ensembles of random matrices in the scaling limit for a class of weights w(x)=exp(-V(x)) where V is a p…
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…
Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory
Alexei Borodin, Percy Deift
The authors show that a wide class of Fredholm determinants arising in the representation theory of "big" groups such as the infinite-dimensional unitary group, solve Painleve equa…