Geodesic
Generic linear cocycles over a minimal base
Jairo Bochi 1
1 Departamento de Matemática Pontifícia Universidade Católica do Rio de Janeiro (PUC–Rio) Rio de Janeiro 22451-900, Brazil
Studia Mathematica, Tome 218 (2013) no. 2, pp. 167-188 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathrm {SL}(2,\mathbb {R})$-cocycles due to Avila and the author.
DOI : 10.4064/sm218-2-4
Keywords: prove generic linear cocycle minimal base dynamics finite dimension has property oseledets splitting respect invariant probability coincides almost everywhere finest dominated splitting therefore restriction generic cocycle subbundle finest dominated splitting uniformly subexponentially quasiconformal extends previous result mathrm mathbb cocycles due avila author

Jairo Bochi  1

1 Departamento de Matemática Pontifícia Universidade Católica do Rio de Janeiro (PUC–Rio) Rio de Janeiro 22451-900, Brazil 
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Jairo Bochi. Generic linear cocycles over a minimal base. Studia Mathematica, Tome 218 (2013) no. 2, pp. 167-188. doi: 10.4064/sm218-2-4

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