139 citations · 376 across the 11 of their papers we have counts for
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math.FA2004
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,…
math.PR2004★ 139 cited
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…
math-ph2004★ 2 cited
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…