由调和测度选择的测地射线的缠绕
动力系统
2024-11-05 v3 概率论
摘要
我们证明了在格罗莫夫双曲空间上，通过调和测度分布的测地射线的同调缠绕的极限定理。我们获得了在调和测度反问题以及帕特森-沙利文测度的缠绕统计中的应用。
引用
@article{arxiv.2211.15232,
title = {Winding of geodesic rays chosen by a harmonic measure},
author = {Timothée Bénard},
journal= {arXiv preprint arXiv:2211.15232},
year = {2024}
}
备注
45 pages, the bibliography has been updated and some proofs have been expounded