Robust Exponential Decay of Correlations for Singular-Flows

被引：21

作者：

Araujo, Vitor ^{[1
]}

Varandas, Paulo ^{[2
]}

机构：

[1] Univ Fed Bahia, Inst Matemat, BR-40170110 Salvador, BA, Brazil

[2] Univ Fed Bahia, Dept Matemat, BR-40170110 Salvador, BA, Brazil

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2012年 / 311卷 / 01期

关键词：

CENTRAL LIMIT-THEOREMS; INVARIANCE-PRINCIPLES; HYPERBOLIC ATTRACTORS; LORENZ ATTRACTOR; LARGE DEVIATIONS; AXIOM; SEMIFLOWS;

D O I：

10.1007/s00220-012-1445-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct open sets of C (k) (k a parts per thousand yen 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.

引用

页码：215 / 246

页数：32

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