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Universal Parametric correlations at the soft edge of the spectrum of random matrix ensembles

A. M. S. Macedo
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Abstract

We extend a recent theory of parametric correlations in the spectrum of random matrices to study the response to an external perturbation of eigenvalues near the soft edge of the support. We demonstrate by explicit non-perturbative calculation that the two-point function for level density fluctuations becomes, after appropriate rescaling, a universal expression.

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A. M. S. Macedo. 1994-04-14. Universal Parametric correlations at the soft edge of the spectrum of random matrix ensembles. https://doi.org/10.1209/0295-5075%2F26%2F9%2F001

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