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Non-universality of compact support probability distributions in random matrix theory

G. Akemann·G. M. Cicuta·L. Molinari·G. Vernizzi
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Abstract

The two-point resolvent is calculated in the large-n limit for the generalized fixed and bounded trace ensembles. It is shown to disagree with the one of the canonical Gaussian ensemble by a non-universal part which is given explicitly for all monomial potentials $V(M)=M^{2p}$. Moreover, we prove that for the generalized fixed and bounded trace ensemble all k-point resolvents agree in the large-n limit, despite their non-universality.

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G. Akemann, G. M. Cicuta, L. Molinari, G. Vernizzi. 1999-05-14. Non-universality of compact support probability distributions in random matrix theory. https://doi.org/10.1103/physreve.60.5287

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