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arXiv · 2110.13226

Constructing the Oseledets decomposition with subspace growth estimates

George Lee
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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.

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George Lee. 2022-08-27. Constructing the Oseledets decomposition with subspace growth estimates. https://arxiv.org/abs/2110.13226

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