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arXiv · 1004.4800

A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2,R)-cocycles

Alexandre T. Baraviera·Joao Lopes Dias·Pedro Duarte
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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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Alexandre T. Baraviera, Joao Lopes Dias, Pedro Duarte. 2010-04-27. A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2,R)-cocycles. https://doi.org/10.1088/0951-7715%2F24%2F9%2F004

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