Periodic approximation of Oseledets subspaces for semi-invertible cocycles

ABSTRACT

We prove that, for semi-invertible linear cocycles, Oseledets subspaces associated to ergodic measures may be approximated by Oseledets subspaces associated to periodic points.

KEYWORDS:

• Semi-invertible linear cocycles
• Oseledets subspaces
• periodic points
• approximation

AMS CLASSIFICATION:

• Primary: 37H15
• 37A20
• secondary: 37D25

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

The author was partially supported by a CAPES-Brazil (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) post-doctoral fellowship [grant number 88881.120218/2016-01] at the University of Chicago.