Pregled bibliografske jedinice broj: 811456
Hölder continuity of Oseledets splittings for semi- invertible operator cocycles
Hölder continuity of Oseledets splittings for semi- invertible operator cocycles // Ergodic theory & dynamical systems, 38 (2018), 3; 961-981 doi:10.1017/etds.2016.55 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 811456 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hölder continuity of Oseledets splittings for semi-
invertible operator cocycles
Autori
Dragičević, Davor ; Froyland, Gary
Izvornik
Ergodic theory & dynamical systems (0143-3857) 38
(2018), 3;
961-981
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hölder continuity ; Oseledets subspaces
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 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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
