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q-Random Matrix Ensembles

2001/12/20 by K. A. Muttalib, Y. Chen, M. E. H. Ismail
Physics and Astronomy · Mathematics · #cond-mat.dis-nn #cond-mat.stat-mech #math-ph #math.MP

paper · pdf

published as Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics; Developments in Mathematics, vol 4, Eds. F.G. Garvan and M.E.H. Ismail (Kluwer, 2001) · 23 pages, review article

arxiv created 2001/12/20 · arxiv updated 2009/11/30

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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