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arXiv · hep-ph/9609491

Nonhermitean Random Matrix Models : a Free Random Variable Approach

Romuald A. Janik·Maciej A. Nowak·Gabor Papp·Jochen Wambach·Ismail Zahed
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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).

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Romuald A. Janik, Maciej A. Nowak, Gabor Papp, Jochen Wambach, Ismail Zahed. 1996-09-26. Nonhermitean Random Matrix Models : a Free Random Variable Approach. https://doi.org/10.1103/physreve.55.4100

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