A. T. Baraviera, P. Duarte
Published 2012-07-24Version 1
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.
Comments: 15 pages, 1 figure
Regularity and convergence rates for the Lyapunov exponents of linear co-cycles
Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles
What are Lyapunov exponents, and why are they interesting?
![QR code for arXiv:1207.5579 [math.DS]](http://oss.arxitics.com/images/favicon.svg)