Constructing the Oseledets decomposition with subspace growth estimates
Dynamical Systems
2022-08-30 v3
Abstract
The semi-invertible version of Oseledets' multiplicative ergodic theorem providing a decomposition of the underlying state space of a random linear dynamical system into fast and slow spaces is deduced for a strongly measurable cocycle on a separable Banach space. This work represents a significantly simplified means of obtaining the result, using measurable growth estimates on subspaces for linear operators combined with a modified version of Kingman's subadditive ergodic theorem.
Cite
@article{arxiv.2110.13226,
title = {Constructing the Oseledets decomposition with subspace growth estimates},
author = {George Lee},
journal= {arXiv preprint arXiv:2110.13226},
year = {2022}
}