Joint partial equidistribution of Farey rays in negatively curved manifolds and trees

被引：0

作者：

Parkkonen, Jouni ^{[1
]}

Paulin, Frederic ^{[2
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, Jyvaskyla 40014, Finland

[2] Univ Paris Saclay, CNRS, Lab Math Orsay, UMR 8628, F-91405 Saclay, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2024年 / 44卷 / 09期

关键词：

equidistribution; negative curvature; geodesic flow; common perpendiculars; Farey fractions; HOROCYCLE FLOW; BEHAVIOR; ORBITS;

D O I：

10.1017/etds.2023.116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a joint partial equidistribution result for common perpendiculars with given density on equidistributing equidistant hypersurfaces, towards a measure supported on truncated stable leaves. We recover a result of Marklof on the joint partial equidistribution of Farey fractions at a given density, and give several analogous arithmetic applications, including in Bruhat-Tits trees.

引用

页码：2700 / 2736

页数：37

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