论文标题
在负弯曲的歧管和树木中，Farey射线的联合部分等距
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees
论文作者
论文摘要
我们证明了对等均等性超曲面的普通垂直线的共同局部等分结果，其密度朝向截断的稳定叶子支撑的措施。我们在给定密度的Farey分数的联合部分等距上恢复了Marklof的结果，并提供了几种类似的算术应用，包括在Bruhat-tits树中。
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.
