Abstract
The fluctuations of the maximum Lyapunov exponent of a product of random matrices are studied analytically and numerically. It is shown that they may be expressed as a sum of two terms, one related to the order of matrices within the product, the other to fluctuations of the number of matrices of a given type. This result is then applied to the one-dimensional random-field Ising model and the discrete Schrodinger equation with a random potential.
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