# Correlations between eigenvalues of a random matrix

```@article{Dyson1970CorrelationsBE,
title={Correlations between eigenvalues of a random matrix},
author={Freeman J. Dyson},
journal={Communications in Mathematical Physics},
year={1970},
volume={19},
pages={235-250}
}```
• F. Dyson
• Published 1970
• Mathematics
• Communications in Mathematical Physics
Exact analytical expressions are found for the joint probability distribution functions ofn eigenvalues belonging to a random Hermitian matrix of orderN, wheren is any integer andN→∞. The distribution functions, like those obtained earlier forn=2, involve only trigonometrical functions of the eigenvalue differences.
281 Citations
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