A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2,R)-cocycles
arXiv:1004.4800 · doi:10.1088/0951-7715/24/9/004
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.
13 pages, 2 figures