Lyapunov exponents of large, sparse random matrices and the problem of directed polymers with complex random weights

DOI10.1007/BF01014363zbMath0737.15012OpenAlexW2022448302MaRDI QIDQ1182233

S. Singh

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01014363

zbMATH Keywords

Cayley treeinterferencelocalizationLyapunov exponentrandom energy modelslarge sparse random complex weightsrandom directed polymers

Mathematics Subject Classification ID

Related Items (6)

Local Lyapunov exponents for spatiotemporal chaos ⋮ From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity ⋮ Lyapunov exponents for the random product of two shears ⋮ Analytic solution of the random Ising model in one dimension ⋮ Mean field theory of directed polymers with random complex weights ⋮ Wave speeds for the FKPP equation with enhancements of the reaction function

Cites Work

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• Characteristic vectors of bordered matrices with infinite dimensions
• The distribution of Lyapunov exponents: Exact results for random matrices
• Exactly solvable one-dimensional inhomogeneous models
• A mathematical reformulation of Derrida's REM and GREM
• Polymers on disordered trees, spin glasses, and traveling waves.
• Random-energy model: An exactly solvable model of disordered systems
• Statistical Theory of the Energy Levels of Complex Systems. I
• Directed polymers in a random medium: 1/d expansion and the n-tree approximation
• Ergodic theory of chaos and strange attractors
• The Dynamics of a Disordered Linear Chain

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