A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2,R)-cocycles
Abstract
We study the geometry of the action of SL(2,R) on the projective line in order to present a new and simpler proof of the Herman-Avila-Bochi formula. This formula gives the average Lyapunov exponent of a class of 1-families of SL(2,R)-cocycles.
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