139 citations · 371 across the 6 of their papers we have counts for
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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…
Differential Equations for Dyson Processes
Craig A. Tracy, Harold Widom
We call "Dyson process" any process on ensembles of matrices in which the entries undergo diffusion. We are interested in the distribution of the eigenvalues (or singular values) o…
A System of Differential Equations for the Airy Process
Craig A. Tracy, Harold Widom
The Airy process is characterized by its finite-dimensional distribution functions. We show that each finite-dimensional distribution function is expressible in terms of a solution…
A Limit Theorem for Shifted Schur Measures
Craig A. Tracy, Harold Widom
To each partition with distinct parts we assign the probability where and are the Schur -functions and is a normalization constant. This me…
Fluctuations in the composite regime of a disordered growth model
Janko Gravner, Craig A. Tracy, Harold Widom
We continue to study a model of disordered interface growth in two dimensions. The interface is given by a height function on the sites of the one--dimensional integer lattice and…
A growth model in a random environment
Janko Gravner, Craig A. Tracy, Harold Widom
We consider a model of interface growth in two dimensions, given by a height function on the sites of the one--dimensional integer lattice. According to the discrete time update ru…