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

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

2010-04-27

arxiv.org/abs/1004.4800v1

Mathematics

Dynamical Systems

13 pages, 2 figures

Scientific paper

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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