# Periodic approximation of Oseledets subspaces for semi-invertible cocycles

## TL;DR

This paper demonstrates that for semi-invertible linear cocycles, Oseledets subspaces linked to ergodic measures can be approximated using those associated with periodic points, advancing understanding of their structure.

## Contribution

It introduces a method to approximate Oseledets subspaces for semi-invertible cocycles via periodic points, a novel approach in the field.

## Key findings

- Oseledets subspaces can be approximated by periodic point subspaces.
- The approximation holds for semi-invertible cocycles.
- This provides a new tool for analyzing cocycle dynamics.

## Abstract

We prove that, for semi-invertible linear cocycles, Oseledets subspaces associated to ergodic measures may be approximated by Oseledets subspaces associated to periodic points.