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Part of the book series: Progress in Probability and Statistics ((PRPR,volume 8))

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Abstract

We present here the main arguments we shall use for studying products of random matrices of arbitrary order, but in the case of 2 × 2 matrices. Our main interest is not the theorems in themselves and actually shorter proofs are available when dealing with 2 × 2 matrices. We rather intend to explicit in this simple situation the general approach, valid for matrices of any order. This chapter is thus introductive. Although all the results are particular cases of more general statements to be proved later, we give them in full detail for the convenience of the reader who is only interested in matrices of order 2.

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© 1985 Birkhäuser Boston, Inc.

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Bougerol, P., Lacroix, J. (1985). Matrices of Order Two. In: Bougerol, P., Lacroix, J. (eds) Products of Random Matrices with Applications to Schrödinger Operators. Progress in Probability and Statistics, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-9172-2_2

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  • DOI: https://doi.org/10.1007/978-1-4684-9172-2_2

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4684-9174-6

  • Online ISBN: 978-1-4684-9172-2

  • eBook Packages: Springer Book Archive

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