Oseledets分裂的近似
Approximation of Oseledets Splittings
摘要：
证明了$C^{1+ r}$双同态的遍历双曲测度的Oseledets分裂可以用双曲周期轨道上原子测度的Oseledets分裂来近似.这消除了\cite{Liang}中关于简单谱的假设，并加强了Katok的封闭引理。
英文摘要：
We prove that the Oseledets splittings of an ergodic hyperbolic measure of a $C^{1+ r}$ diffeomorphism can be approximated by that of atomic measures on hyperbolic periodic orbits. This removes the assumption on simple spectrum in \cite{Liang} and strengthens Katok's closing lemma.
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