1 research outputs found
Nonhermitean Random Matrix Models : a Free Random Variable Approach
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).Comment: 7 pages LaTeX, 1 EPS figur