Some advances on generic properties of the Oseledets splitting

Jana Rodriguez Hertz

doi:10.3934/dcds.2013.33.4323

Article Contents

2013, Volume 33, Issue 9: 4323-4339. Doi: 10.3934/dcds.2013.33.4323

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Some advances on generic properties of the Oseledets splitting

Jana Rodriguez Hertz^1,

1.
Universidad de la Republica

Received: October 31, 2010

Published: August 2013

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Abstract

In his foundational paper [20] , Mañé suggested that some aspects of the Oseledets splitting could be improved if one worked under $C^1$-generic conditions. He announced some powerful theorems, and suggested some lines to follow. Here we survey the state of the art and some recent advances in these directions.

Keywords:

Non-uniform hyperbolicity,
Oseledets spliting.

Mathematics Subject Classification: 37C20, 37D25.

Citation:

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References

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