The largest Lyapunov exponent for random matrices and directed polymers in a random environment
type: Item
instance of: scholarly article
title: The largest Lyapunov exponent for random matrices and directed polymers in a random environment
zbMATH Open document ID: 0673.60066
DOI: 10.1007/BF01218629
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The paper establishes bounds for the largest Lyapunov exponent of random matrix products with matrices being either d-dimensional Laplacians with random entries or symplectic matrices which arise in the study of d- dimensional lattices of coupled, nonlinear oscillators. The method uses the expression for the largest Lyapunov exponent via a random walk in a random environment.
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 82D30
zbMATH DE Number: 4102224
zbMATH Keywords: largest Lyapunov exponent
zbMATH Keywords: random matrix products
zbMATH Keywords: random walk in a random environment
author: Jean-Pierre Eckmann
author: C. Eugene Wayne
reviewed by: Yuri Kifer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4102224