双曲群在其边界上作用的跟踪性质
群论
2024-06-19 v2 动力系统
度量几何
摘要
我们证明每个双曲群在其 Gromov 边界上的典范作用具有跟踪（亦称伪轨道追踪）性质。特别地，这重新推导了 Mann 等人的结果，即此类作用是拓扑稳定的。
引用
@article{arxiv.2405.04905,
title = {Shadowing of actions of hyperbolic groups on their boundaries},
author = {Michal Doucha},
journal= {arXiv preprint arXiv:2405.04905},
year = {2024}
}
备注
v2: Several typos were corrected and the presentation was improved