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q-Random Matrix Ensembles

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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

Part of the book series: Developments in Mathematics ((DEVM,volume 4))

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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Author information

Authors and Affiliations

  1. Department of Physics, University of Florida, Gainesville, Florida, 32611-8440, USA

    K. A. Muttalib

  2. Department of Mathematics, Imperial College, 180 Queen’s Gate, London, SW7 2BZ, UK

    Y. Chen

  3. Department of Mathematics, University of South Florida, Tampa, Florida, 33620-5700, USA

    M. E. H. Ismail

Authors
  1. K. A. Muttalib
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  2. Y. Chen
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  3. M. E. H. Ismail
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Florida, Gainesville, Florida, 32611, USA

    Frank G. Garvan

  2. Department of Mathematics, University of South Florida, Tampa, Florida, 33620, USA

    Mourad E. H. Ismail

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© 2001 Kluwer Academic Publishers

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Muttalib, K.A., Chen, Y., Ismail, M.E.H. (2001). q-Random Matrix Ensembles. In: Garvan, F.G., Ismail, M.E.H. (eds) Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics. Developments in Mathematics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0257-5_12

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  • DOI: https://doi.org/10.1007/978-1-4613-0257-5_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4020-0101-7

  • Online ISBN: 978-1-4613-0257-5

  • eBook Packages: Springer Book Archive

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