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Weak disorder expansion of Liapunov exponents in a degenerate case |
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| Authors: | N Zanon B Derrida |
| Institution: | (1) Service de Physique du Solide et de Résonance Magnétique, CEN-Saclay, 91191 Gif-sur-Yvette, France;(2) Service de Physique Théorique, CEN-Saclay, 91191 Gif-sur-Yvette, France |
| 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. |
| Keywords: | Disordered systems products of random matrices Liapunov exponents dynamic systems one-dimensional localization |
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