Oseledets splitting and invariant manifolds on fields of Banach spaces
Probability
2019-12-18 v1 Dynamical Systems
Abstract
We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces.
Keywords
Cite
@article{arxiv.1912.07985,
title = {Oseledets splitting and invariant manifolds on fields of Banach spaces},
author = {Mazyar Ghani Varzaneh and Sebastian Riedel},
journal= {arXiv preprint arXiv:1912.07985},
year = {2019}
}