Nonuniversality of compact support probability distributions in random matrix theory

1999/04/30 by G. Akemann, G. M. Cicuta, Luca Guido Molinari +3 · 4 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum chaos and dynamical systems #Random Matrices and Applications #cond-mat #hep-th

paper · pdf · doi:10.1103/physreve.60.5287

published as Phys.Rev. E60 (1999) 5287 · 8 pages, LaTeX, references added

arxiv created 1999/05/14 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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