The largest Lyapunov exponent for random matrices and directed polymers in a random environment
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.
scientific article; zbMATH DE number 4102224