A criterion for ergodicity for non-uniformly hyperbolic diffeomorphisms

被引：0

作者：

Hertz, F. Rodriguez ^{[1
]}

Hertz, M. A. Rodriguez ^{[1
]}

Tahzibi, A. ^{[2
]}

Ures, R. ^{[1
]}

机构：

[1] Univ Republica, IMERL Fac Ingn, Montevideo, Uruguay

[2] ICMC USP Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES | 2007年 / 14卷

基金：

巴西圣保罗研究基金会;

关键词：

non-uniform hyperbolicity; ergodicity; partial hyperbolicity; SRB-measures;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we exhibit a new criterion for ergodicity of diffeomorphisms involving conditions on Lyapunov exponents and the general position of some invariant manifolds. On the one hand, we derive uniqueness of SRB-measures for transitive surface diffeomorphisms. On the other hand, using recent results on the existence of blenders we give a positive answer, in the C-1 topology, to a conjecture of Pugh and Shub in the context of partially hyperbolic conservative diffeomorphisms with two dimensional center bundle.

引用

页码：74 / 81

页数：8

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