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.
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页码：2700 / 2736
页数：37
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