151 citations · 698 across the 48 of their papers we have counts for
16 papers · 1 filter
Harold Widom's work in random matrix theory
Ivan Corwin, Percy Deift, Alexander Its
This is a survey of Harold Widom's work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy's groundbreaking r…
Riemann--Hilbert Problems
Percy Deift
These lectures introduce the method of nonlinear steepest descent for Riemann-Hilbert problems. This method finds use in studying asymptotics associated to a variety of special fun…
Fifty Years of KdV: An Integrable System
Percy Deift
The author discusses integrability of Hamiltonian dynamical systems in the aftermath of KdV. The author also discusses the role of integrable systems in certain numerical computati…
The sine process under the influence of a varying potential
Thomas Bothner, Percy Deift, Alexander Its +1
We review the authors' recent work \cite{BDIK1,BDIK2,BDIK3} where we obtain the uniform large asymptotics for the Fredholm determinant $D(s,γ):=\det(I-γK_s\upharpoonright_{L^2(…
Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
Percy Deift
We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matr…
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II
Thomas Bothner, Percy Deift, Alexander Its +1
In this paper we continue our analysis \cite{BDIK} of the determinant where is the trace class operator acting in with kernel $K_s(λ,μ)=\…