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arxiv: 0712.1086 · v3 · submitted 2007-12-07 · 🧮 math-ph · math.MP· math.PR

Airy kernel with two sets of parameters in directed percolation and random matrix theory

A. Borodin , S. Peche This is my paper
classification 🧮 math-ph math.MPmath.PR
keywords kernelairydirectedparameterspercolationrandomsetsarises
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We introduce a generalization of the extended Airy kernel with two sets of real parameters. We show that this kernel arises in the edge scaling limit of correlation kernels of determinantal processes related to a directed percolation model and to an ensemble of random matrices.

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