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

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

1999-04-30

arxiv.org/abs/cond-mat/9904446v2

Phys.Rev. E60 (1999) 5287

Physics

Condensed Matter

8 pages, LaTeX, references added

Scientific paper

10.1103/PhysRevE.60.5287

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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