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

Preprint

11 January 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9301001

Abstract

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.

Keywords

FUNCTION FOR THE LYAPUNOV
LYAPUNOV EXPONENT
PRODUCT OF RANDOM
DYNAMICAL SYSTEM
CYCLE EXPANSION
RANDOM MATRICES
ZETA FUNCTION

All Related Versions

Version 1, 1993-01-11, ArXiv

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