Sun Wen Xiang1; Tian Xue Ting2
Source Publicationactamathematicasinicaenglishseries
AbstractLet I > be an isolated non-trivial transitive set of a C (1) generic diffeomorphism f a Diff(M). We show that the space of invariant measures supported on I > coincides with the space of accumulation measures of time averages on one orbit. Moreover, the set of points having this property is residual in I > (which implies that the set of irregular(+) points is also residual in I >). As an application, we show that the non-uniform hyperbolicity of irregular(+) points in I > with totally 0 measure (resp., the non-uniform hyperbolicity of a generic subset in I >) determines the uniform hyperbolicity of I >.
Funding Project[National Natural Science Foundation] ; [CAPES (Brazil)]
Document Type期刊论文
Recommended Citation
GB/T 7714
Sun Wen Xiang,Tian Xue Ting. thestructureoninvariantmeasuresofc1genericdiffeomorphisms[J]. actamathematicasinicaenglishseries,2012,28(4):817.
APA Sun Wen Xiang,&Tian Xue Ting.(2012).thestructureoninvariantmeasuresofc1genericdiffeomorphisms.actamathematicasinicaenglishseries,28(4),817.
MLA Sun Wen Xiang,et al."thestructureoninvariantmeasuresofc1genericdiffeomorphisms".actamathematicasinicaenglishseries 28.4(2012):817.
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