139 citations · 146 across the 6 of their papers we have counts for
6 papers
Asymptotics of a Class of Operator Determinants
Harold Widom
In previous work of C. A. Tracy and the author asymptotic formulas were derived for certain operator determinants whose interest lay in the fact that quotients of them gave solutio…
On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
Albrecht Boettcher, Harold Widom
We consider the operator of taking the th derivative of a function with zero boundary conditions for the function and its first derivatives at two distinct points. Our ma…
From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities
A. Boettcher, H. Widom
The paper is concerned with a sequence of constants which appear in several problems. These problems include the minimal eigenvalue of certain positive definite Toeplitz matrices,…
The Pearcey Process
Craig A. Tracy, Harold Widom
The extended Airy kernel describes the space-time correlation functions for the Airy process, which is the limiting process for a polynuclear growth model. The Airy functions thems…
Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles
Craig A. Tracy, Harold Widom
We derive the limiting matrix kernels for the the Gaussian Orthogonal and Symplectic ensembles scaled at the edge, with proofs of convergence in the operator norms that assure conv…
Two Elementary Derivations of the Pure Fisher-Hartwig Determinant
Albrecht Boettcher, Harold Widom
We present two elementary derivations of the formula for the Toeplitz determinant generated by a pure Fisher-Hartwig singularity.