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Weak disorder expansion of Liapunov exponents in a degenerate case

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Abstract

It is shown how the weak disorder expansion of the Liapunov exponents of a product of random matrices can be derived when the unperturbed matrices have two degenerate eigenvalues. The general expression of the Liapunov exponents at the lowest nontrivial order in disorder is given.

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Authors and Affiliations

  1. Service de Physique du Solide et de Résonance Magnétique, CEN-Saclay, 91191, Gif-sur-Yvette, France

    N. Zanon

  2. Service de Physique Théorique, CEN-Saclay, 91191, Gif-sur-Yvette, France

    B. Derrida

Authors
  1. N. Zanon
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  2. B. Derrida
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Zanon, N., Derrida, B. Weak disorder expansion of Liapunov exponents in a degenerate case. J Stat Phys 50, 509–528 (1988). https://doi.org/10.1007/BF01026489

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  • DOI: https://doi.org/10.1007/BF01026489

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