论文标题
通过谐波措施选择的测地射线绕组
Winding of geodesic rays chosen by a harmonic measure
论文作者
论文摘要
我们证明,通过在Gromov双曲空间上的谐波测量分布的地球射线的同源绕组限制了定理。我们为谐波度量的逆问题提供了应用,以及帕特森 - 苏利文措施的绕组统计。
We prove limit theorems for the homological winding of geodesic rays distributed via a harmonic measure on a Gromov hyperbolic space. We obtain applications to the inverse problem for the harmonic measure, and winding statistics for Patterson-Sullivan measures.