Determinants of Airy Operators and Applications to Random Matrices
classification
🧮 math.FA
nlin.SIsolv-int
keywords
operatorsrandomcertaindeterminantsformulasairyanaloguesapplications
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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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