Nonuniversality of compact support probability distributions in random matrix theory

G. Akemann, G. M. Cicuta, Luca Guido Molinari, Graziano Vernizzi

Type: Article

Publication Date: 1999-11-01

Citations: 15

DOI: https://doi.org/10.1103/physreve.60.5287

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 that of the canonical Gaussian ensemble by a nonuniversal part that 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 nonuniversality.

Locations

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics - View
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Brunel University Research Archive (BURA) (Brunel University London) - View - PDF
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