Some advances on generic properties of the Oseledets splitting

Abstract

In his foundational paper [ICM 1983, Warzaw], Mañé suggested that some aspects of the Oseledets splitting could be improved if one worked under C1-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.

22 pages

References in corpus (3)

• New criteria for ergodicity and non-uniform hyperbolicity
• Creation of blenders in the conservative setting
• On the regularization of conservative maps