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

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

2007-12-07

arxiv.org/abs/0712.1086v3

Physics

Mathematical Physics

figures improved; references and comments added

Scientific paper

10.1007/s10955-008-9553-8

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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