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Effective estimates on the top Lyapunov exponents for random matrix products

Effective estimates on the top Lyapunov exponents for random matrix products

We study the top Lyapunov exponents of random products of positive $2 \times 2$ matrices and obtain an efficient algorithm for its computation. As in the earlier work of Pollicott, the algorithm is based on the Fredholm theory of determinants of trace-class linear operators. In this article we obtain a …