139 citations · 667 across the 19 of their papers we have counts for
4 papers · 1 filter
Nonintersecting Brownian excursions
Craig A. Tracy, Harold Widom
We consider the process of Brownian excursions conditioned to be nonintersecting. We show the distribution functions for the top curve and the bottom curve are equal to Fredhol…
Asymptotics of a Class of Operator Determinants with Application to the Cylindrical Toda Equations
Harold Widom
In work of C. A. Tracy and the author asymptotic formulas were derived for certain operator determinants which gave solutions to the cylindrical Toda equations. Later the author co…
On the Inverse and Determinant of Certain Truncated Wiener-Hopf Operators
Harold Widom
The solution of a problem arising in integrable systems requires sharp asymptotics for the inverses and determinants of truncated Wiener-Hopf operators, both in the regular case (w…
Szegö via Jacobi
A. Boettcher, H. Widom
At present there exist numerous different approaches to results on Toeplitz determinants of the type of Szegö's strong limit theorem. The intention of this paper is to show that Ja…