Products of random matrices and one dimensional disordered systems

  • Bernard Derrida
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 226)


Several examples of disordered one dimensional models are discussed : a spin glass chain, an Ising chain in a random field, the diffusion on a random chain, a Schrödinger equation with a random potential. For each problem, one can develop analytic methods to expand the Lyapounov exponent.


Random Field Random Matrice Analytic Behaviour Schrodinger Equation Localisation Length 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Bernard Derrida
    • 1
  1. 1.Service de Physique ThéoriqueCEN-SaclayCedexFrance

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