Naslov
Hölder continuity of Oseledets splittings for semi- invertible operator cocycles

Autori
Dragičević, Davor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
6th Croatian Mathematical Congress

Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Oseledets subspaces; Holder continuity; nonuniform hyperbolicity

Sažetak
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, Bufetov, and Filip [1] by considering possibly noninvertible cocycles, which in addition may take values in the space of compact operators on a Hilbert space. The talk is based on a joint work with G. Froyland [2]. References: [1] V. Araujo, A. Bufetov and S. Filip, On Hölder- continuity of Oseledets subspaces. Journal of the London Mathematical Society, 93 (2016), 194-218. [2] D. Dragičević and G. Froyland, Holder continuity of Oseledets splittings for semi- invertible operator cocycles, Ergodic Theory and Dynamical Systems, to appear.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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