A Note on the Continuity of Oseledets Subspaces for Fiber-Bunched Cocycles

Abstract

We prove that restricted to the subset of fiber-bunched elements of the space of $GL(2,\mathbb{R})$-valued cocycles Oseledets subspaces vary continuously, in measure, with respect to the cocycle.

References in corpus (2)

• Continuity of Lyapunov Exponents for Random 2D Matrices
• Continuity of the Oseledets Decomposition