Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces

被引：25

作者：

Rodriguez Hertz, F. ^{[1
]}

Rodriguez Hertz, M. A. ^{[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：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 306卷 / 01期

关键词：

PARTIALLY HYPERBOLIC SYSTEMS; CENTRAL DIRECTION; ATTRACTORS; ERGODICITY; SETS;

D O I：

10.1007/s00220-011-1275-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.

引用

页码：35 / 49

页数：15

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