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Why Study Random Matrices?

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Products of Random Matrices

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 104))

Abstract

This is an introductory chapter on the role of random matrices (RM) for the analysis of systems which involve a large number of components or some randomness. In this context, one mainly deals with two different kinds of problems:

  1. a)

    the statistics of the eigenvalues of matrices whose elements are extracted according to some probabilistic rules;

  2. b)

    products of random matrices (PRM).

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© 1993 Springer-Verlag Berlin Heidelberg

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Crisanti, A., Paladin, G., Vulpiani, A. (1993). Why Study Random Matrices?. In: Products of Random Matrices. Springer Series in Solid-State Sciences, vol 104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84942-8_1

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  • DOI: https://doi.org/10.1007/978-3-642-84942-8_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84944-2

  • Online ISBN: 978-3-642-84942-8

  • eBook Packages: Springer Book Archive

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