Asymptotics of level-spacing distributions for random matrices
- 6 July 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 69 (1) , 5-8
- https://doi.org/10.1103/physrevlett.69.5
Abstract
Asymptotic formulas for the probability of finding exactly n eigenvalues in an interval of length s, for large s and fixed n, are given for random matrices taken from the Gaussian ensembles (β=1,2,4). These exact results are compared with the predictions of a continuum Coulomb gas model due to Dyson.Keywords
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