Zeta function for the Lyapunov exponent of a product of random matrices

Details Zeta function for the Lyapunov exponent of a product of random matrices Zeta function for the Lyapunov exponent of a product of random matrices

1993-01-11

arxiv.org/abs/chao-dyn/9301001v1

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93Jan01

Scientific paper

A 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.

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