The weak mixing property on negatively curved manifolds

被引：0

作者：

Coudene, Yves ^{[1
]}

机构：

[1] Sorbonne Univ, LPSM, 4 Pl Jussieu, F-75005 Paris, France

来源：

NONLINEARITY | 2024年 / 37卷 / 05期

关键词：

ergodic theory; geodesic flow; Gibbs measure; GIBBS MEASURES;

D O I：

10.1088/1361-6544/ad39a0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a complete manifold of negative curvature, we show that weak mixing is a generic property in the set of all probability measures invariant by the geodesic flow, as soon as the flow is topologically weakly mixing in restriction to its non-wandering set.

引用

页数：6

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