Airy kernel with two sets of parameters in directed percolation and random matrix theory
Mathematical Physics
2009-11-13 v3 math.MP
Probability
Abstract
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.
Cite
@article{arxiv.0712.1086,
title = {Airy kernel with two sets of parameters in directed percolation and random matrix theory},
author = {A. Borodin and S. Peche},
journal= {arXiv preprint arXiv:0712.1086},
year = {2009}
}
Comments
figures improved; references and comments added