A Note on the Continuity of Oseledets Subspaces for Fiber-Bunched Cocycles
classification
🧮 math.DS
keywords
cocyclesfiber-bunchedoseledetssubspacescocyclecontinuitycontinuouslyelements
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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.
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