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Determinants of Airy Operators and Applications to Random Matrices |
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| Authors: | Basor Estelle L. Widom Harold |
| Affiliation: | (1) Department of Mathematics, California Polytechnic State University, San Luis Obispo, California, 93407;(2) Department of Mathematics, University of California, Santa Cruz, California, 95064 |
| 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. |
| Keywords: | Airy operators random matrices Fredholm determinants linear statistics |
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