Hölder continuity of Oseledets splittings for semi- invertible operator cocycles (CROSBI ID 227262)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Dragičević, Davor ; Froyland, Gary
engleski
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 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.
Hölder continuity ; Oseledets subspaces
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
38 (3)
2018.
961-981
objavljeno
0143-3857
1469-4417
10.1017/etds.2016.55