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Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory |
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| Authors: | Alexei Borodin Sandrine Péché |
| Institution: | (1) Mathematics 253-37, Caltech, Pasadena, CA 91125, USA;(2) Institute for Information Transmission Problems, Moscow, Russia;(3) Institut Fourier, 100 Rue des maths, 38402 Saint Martin d’Heres, France;(4) Present address: Department of Mathematics, University of California at Davis, One Shields Ave., Davis, CA 95616, USA |
| 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. |
| Keywords: | Random matrices Directed percolation Determinantal point process |
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