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arXiv · 1207.5579

Formulas for Lyapunov exponents

A. T. Baraviera·P. Duarte
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Abstract

We derive a series summation formula for the average logarithm norm of the action of a matrix on the projective space. This formula is shown to be useful to evaluate some Lyapunov exponents of random $\SL$-matrix cocycles, which include a special class for which H. Furstenberg had provided an explicit integral formula.

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A. T. Baraviera, P. Duarte. 2012-07-24. Formulas for Lyapunov exponents. https://arxiv.org/abs/1207.5579

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