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q-Random Matrix Ensembles

K. A. Muttalib, Y. Chen, M. E. H. Ismail

cond-mat.dis-nnarXiv:cond-mat/0112386

Abstract

Theory of Random Matrix Ensembles have proven to be a useful tool in the study of the statistical distribution of energy or transmission levels of a wide variety of physical systems. We give an overview of certain q-generalizations of the Random Matrix Ensembles, which were first introduced in connection with the statistical description of disordered quantum conductors.

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