Nonhermitean Random Matrix Models : a Free Random Variable Approach

Details Nonhermitean Random Matrix Models : a Free Random Variable Approach Nonhermitean Random Matrix Models : a Free Random Variable Approach

1996-09-26

arxiv.org/abs/hep-ph/9609491v1

Phys.Rev. E55 (1997) 4100-4106

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages LaTeX, 1 EPS figure

Scientific paper

10.1103/PhysRevE.55.4100

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-Weidenm\"uller (chaotic resonance scattering).

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