Generic linear cocycles over a minimal base

• Autorzy: Jairo Bochi
• Języki publikacji: EN

Abstrakty

EN

We prove that a generic linear cocycle over a minimal base dynamics of finite dimension has the property that the Oseledets splitting with respect to any invariant probability coincides almost everywhere with the finest dominated splitting. Therefore the restriction of the generic cocycle to a subbundle of the finest dominated splitting is uniformly subexponentially quasiconformal. This extends a previous result for SL(2,ℝ)-cocycles due to Avila and the author.

Kategorie tematyczne

• 37H15: Multiplicative ergodic theory, Lyapunov exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 218
• Numer: 2
• Strony: 167-188

Daty

wydano

2013

Twórcy

autor

Jairo Bochi

• Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio), Rio de Janeiro 22451-900, Brazil

Identyfikatory

DOI

10.4064/sm218-2-4