2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150416A cycle expansion for the Lyapunov exponent of a product of random matrices is derived. The formula is non-perturbative and numerically effective, which allows the Lyapunov exponent to be computed to high accuracy. In particular, the free energy and the heat capacity are computed for the one-dimensional Ising model with quenched disorder. The formula is derived by using a Bernoulli dynamical system to mimic the randomness.CYCLER Paper 93Jan01Chaotic Dynamicstext