Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
نویسندگان
چکیده
منابع مشابه
Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
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 com...
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We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-invertible matrix cocycles, subjected to small random perturbations. The first part extends results of Ledrappier and Young [18] to the semiinvertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian, where the analysis developed, based on h...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2016
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2016.55