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Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory

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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.

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Author notes

  1. Sandrine Péché

    Present address: Department of Mathematics, University of California at Davis, One Shields Ave., Davis, CA, 95616, USA

Authors and Affiliations

  1. Mathematics 253-37, Caltech, Pasadena, CA, 91125, USA

    Alexei Borodin

  2. Institute for Information Transmission Problems, Moscow, Russia

    Alexei Borodin

  3. Institut Fourier, 100 Rue des maths, 38402, Saint Martin d’Heres, France

    Sandrine Péché

Authors
  1. Alexei Borodin
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  2. Sandrine Péché
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Correspondence to Sandrine Péché.

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Borodin, A., Péché, S. Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory. J Stat Phys 132, 275–290 (2008). https://doi.org/10.1007/s10955-008-9553-8

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  • DOI: https://doi.org/10.1007/s10955-008-9553-8

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