Nonhermitean Random Matrix Models : a Free Random Variable Approach

Abstract

Using the standard concepts of free random variables, we show that for a large class of nonhermitean random matrix models, the support of the eigenvalue distribution follows from their hermitean analogs using a conformal transformation. We also extend the concepts of free random variables to the class of nonhermitean matrices, and apply them to the models discussed by Ginibre-Girko (elliptic ensemble) and Mahaux-Weidenmüller (chaotic resonance scattering).

7 pages LaTeX, 1 EPS figure

References in corpus (2)

• Random matrix model of QCD at finite density and the nature of the quenched limit
• Macroscopic Universality : Why QCD in Matter is Subtle?

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