庞加莱指数与克莱因极限集的维数
动力系统
2021-08-13 v1 度量几何
摘要
我们给出了一个（众所周知的）结果的证明：非初等克莱因群的庞加莱指数是其极限集的上盒维数的下界。我们的证明仅使用基本的双曲几何与分形几何。
引用
@article{arxiv.2108.05408,
title = {The Poincar\'e exponent and the dimensions of Kleinian limit sets},
author = {Jonathan M. Fraser},
journal= {arXiv preprint arXiv:2108.05408},
year = {2021}
}
备注
Expository, 6 pages. This article has been accepted for publication in The American Mathematical Monthly, published by Taylor & Francis