Non-Hermitian random matrices and the calogero-sutherland model.
We study the statistical properties of the eigenvalues of non-Hermitian operators associated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is obtained. Further, the eigenvalues are found to behave like particles moving on a complex plane under two-body (inverse square) and three-body interactions and there seems to underlie a deep connection and universality in the spectral behavior of different complex systems.
Shukla
P
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Department of Physics, Indian Institute of Technology, Kharagpur, India.
D006128:Growth; D008432:Mathematical Computing; D008962:Models, Theoretical