Nonhermitean Random Matrix Models : a Free Random Variable Approach
Preprint
- 26 September 1996
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-Weidenm\"uller (chaotic resonance scattering).Keywords
All Related Versions
- Version 1, 1996-09-26, ArXiv
- Published version: Physical Review E, 55 (4), 4100.
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