On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures: the constant unstable dimension case
On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures: the constant unstable dimension case
复制标题
双曲 Sinai-Ruelle-Bowen 测度的遍历性：常数不稳定维数情况
DOI：
10.1017/etds.2014.124
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发表时间：
2015
影响因子：
0.9
通讯作者：
Michihiro Hirayama and Naoya Sumi
中科院分区：
文献类型：
--
作者：
K. Moriyasu;K. Sakai and N. Sumi;鷲見直哉，山本謙一郎，P.Varandas;Michihiro Hirayama and Naoya Sumi
本文考虑保双曲Sina-Ruelle-Bowen（SRB）概率测度的双同态.作为应用，我们得到了Rodriguez Hertz，Rodriguez Hertz，Tahzibi和Ures [Universides of SRB measures for transitive submorphisms on surfaces. 306（1）（2011），35-49]。
In this paper we consider diffeomorphisms preserving hyperbolic Sinaĭ–Ruelle–Bowen (SRB) probability measures . As an application we obtain another proof of the ergodicity of a hyperbolic SRB measure for transitive surface diffeomorphisms, which is shown by Rodriguez Hertz, Rodriguez Hertz, Tahzibi and Ures [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys.306(1) (2011), 35–49].