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q-Random Matrix Ensembles

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2001Embargo end date: 01 Jan 2001Publisher:Springer USFunded by:NSF | Orthogonal Polynomials an..., NSF | US-UK Cooperative Researc...

Authors: Yang Chen; Khandker Muttalib; Mourad E. H. Ismail;

doi: 10.1007/978-1-4613-0257-5_12 , 10.48550/arxiv.cond-mat/0112386

arXiv: http://arxiv.org/abs/cond-mat/0112386

q-Random Matrix Ensembles

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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.

23 pages, review article

Related Organizations

Florida Southern College
United States
University of Florida
United States
University of South Florida
United States
Imperial College London
United Kingdom

Keywords

Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Mathematical Physics (math-ph), Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics, Mathematical Physics

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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Fields of Science

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Funded by

NSF| Orthogonal Polynomials and Special Functions, NSF| US-UK Cooperative Research: Asymptotics, Orthogonal Polynomials and Toda Lattice