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arxiv: 1207.5579 · v1 · pith:SXQDY7WHnew · submitted 2012-07-24 · 🧮 math.DS

Formulas for Lyapunov exponents

classification 🧮 math.DS
keywords formulaexponentslyapunovmatrixactionaverageclasscocycles
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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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