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Determinants of Airy Operators and Applications to Random Matrices

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Abstract

The purpose of this paper is to describe asymptotic formulas for determinants of certain operators that are analogues of Wiener–Hopf operators. The determinant formulas yield information about the distribution functions for certain random variables that arise in random matrix theory when one rescales at “the edge of the spectrum.”

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Authors and Affiliations

  1. Department of Mathematics, California Polytechnic State University, San Luis Obispo, California, 93407

    Estelle L. Basor

  2. Department of Mathematics, University of California, Santa Cruz, California, 95064

    Harold Widom

Authors
  1. Estelle L. Basor
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  2. Harold Widom
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Basor, E.L., Widom, H. Determinants of Airy Operators and Applications to Random Matrices. Journal of Statistical Physics 96, 1–20 (1999). https://doi.org/10.1023/A:1004539513619

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  • DOI: https://doi.org/10.1023/A:1004539513619

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