The two-point resolvent is calculated in the large-[Formula Presented] limit for the generalized fixed and bounded trace ensembles. It is shown to disagree with that of the canonical Gaussian ensemble by a nonuniversal part that is given explicitly for all monomial potentials [Formula Presented] Moreover, we prove that for the generalized fixed and bounded trace ensemble all k-point resolvents agree in the large-[Formula Presented] limit, despite their nonuniversality.
Nonuniversality of compact support probability distributions in random matrix theory / G. Akemann, G.M. Cicuta, L.G. Molinari, G. Vernizzi. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 60:5(1999), pp. 5287-5292. [10.1103/PhysRevE.60.5287]
Nonuniversality of compact support probability distributions in random matrix theory
L.G. MolinariPenultimo
;
1999
Abstract
The two-point resolvent is calculated in the large-[Formula Presented] limit for the generalized fixed and bounded trace ensembles. It is shown to disagree with that of the canonical Gaussian ensemble by a nonuniversal part that is given explicitly for all monomial potentials [Formula Presented] Moreover, we prove that for the generalized fixed and bounded trace ensemble all k-point resolvents agree in the large-[Formula Presented] limit, despite their nonuniversality.
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