A semi-invertible operator Oseledets theorem
Dynamical Systems
2012-11-26 v2
Abstract
Semi-invertible multiplicative ergodic theorems establish the existence of an Oseledets splitting for cocycles of non-invertible linear operators (such as transfer operators) over an invertible base. Using a constructive approach, we establish a semi-invertible multiplicative ergodic theorem that for the first time can be applied to the study of transfer operators associated to the composition of piecewise expanding interval maps randomly chosen from a set of cardinality of the continuum.
Cite
@article{arxiv.1105.5609,
title = {A semi-invertible operator Oseledets theorem},
author = {Cecilia González-Tokman and Anthony Quas},
journal= {arXiv preprint arXiv:1105.5609},
year = {2012}
}
Comments
45 pages