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• W2290164080 abstract "For Hölder continuous cocycles over an invertible, Lipschitz base, we establish the Hölder continuity of Oseledets subspaces on compact sets of arbitrarily large measure. This extends a result of Araújo et al [On Hölder-continuity of Oseledets subspaces J. Lond. Math. Soc. 93 (2016) 194–218] by considering possibly non-invertible cocycles, which, in addition, may take values in the space of compact operators on a Hilbert space. As a by-product of our work, we also show that a non-invertible cocycle with non-vanishing Lyapunov exponents exhibits non-uniformly hyperbolic behaviour (in the sense of Pesin) on a set of full measure." @default.
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• W2290164080 date "2016-09-09" @default.
• W2290164080 modified "2023-10-17" @default.
• W2290164080 title "Hölder continuity of Oseledets splittings for semi-invertible operator cocycles" @default.
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• W2290164080 doi "https://doi.org/10.1017/etds.2016.55" @default.
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