Determinants of Airy Operators and Applications to Random Matrices

Details Determinants of Airy Operators and Applications to Random Matrices Determinants of Airy Operators and Applications to Random Matrices

1998-12-08

arxiv.org/abs/math/9812043v2

J. Stat. Phys. 96 (1999) 1-20

Mathematics

Functional Analysis

LaTeX file. 17 pages. An error corrected

Scientific paper

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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