Formulas for Lyapunov exponents
Dynamical Systems
2012-07-25 v1
Abstract
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 -matrix cocycles, which include a special class for which H. Furstenberg had provided an explicit integral formula.
Cite
@article{arxiv.1207.5579,
title = {Formulas for Lyapunov exponents},
author = {A. T. Baraviera and P. Duarte},
journal= {arXiv preprint arXiv:1207.5579},
year = {2012}
}
Comments
15 pages, 1 figure