151 citations · 698 across the 48 of their papers we have counts for
49 papers
Applications of a Commutation Formula II
Percy Deift, Fritz Gesztesy
The principal {\it commutation formula} underlying the paper by Deift [24], is of the type \[ - z (AB - z I)^{-1} + A (BA - z I)^{-1} B = I, \quad z \in [ρ(AB) \cap ρ(BA)]\backslas…
Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function
Percy Deift, Mateusz Piorkowski
We prove an asymptotic formula for the recurrence coefficients of orthogonal polynomials with orthogonality measure on . The asymp…
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…
On the open Toda chain with external forcing
Percy Deift, Luen-Chau Li, Herbert Spohn +2
We consider the open Toda chain with external forcing, and in the case when the forcing stretches the system, we derive the longtime behavior of solutions of the chain. Using an ob…
Stopping time signatures for some algorithms in cryptography
Percy Deift, Stephen D. Miller, Thomas Trogdon
We consider the normalized distribution of the overall running times of some cryptographic algorithms, and what information they reveal about the algorithms. Recent work of Deift,…
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…