Weak disorder expansion of Liapunov exponents in a degenerate case.

DOI10.1007/BF01026489zbMath1084.82551OpenAlexW2078096395MaRDI QIDQ1963553

N. Zanon, Bernard Derrida

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01026489

zbMATH Keywords

dynamical systemsLyapunov exponentsproducts of random matricesDisordered systemsone-dimensional localization

Mathematics Subject Classification ID

Special processes (60K99) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Related Items (7)

Continuum limit of random matrix products in statistical mechanics of disordered systems ⋮ Regular expansion for the characteristic exponent of a product of \(2 \times 2\) random matrices ⋮ Lyapunov exponents for some isotropic random matrix ensembles ⋮ The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity ⋮ Equivalence of kinetic-theory and random-matrix approaches to Lyapunov spectra of hard-sphere systems ⋮ Weak disorder expansions for the Anderson model on a one dimensional strip at the center of the band ⋮ Weak disorder expansion of Lyapunov exponents of products of random matrices: A degenerate theory

Cites Work

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• Random matrix products and measures on projective spaces
• The distribution of Lyapunov exponents: Exact results for random matrices
• Exactly solvable one-dimensional inhomogeneous models
• Perturbations of random matrix products in a reducible case
• Rigorous bounds and the replica method for products of random matrices
• Perturbations of random matrix products
• Ergodic theory of chaos and strange attractors
• The Dynamics of a Disordered Linear Chain

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