Uniformly perfect sets, rational semigroups, Kleinian groups and IFS's
动力系统
2007-05-23 v1 复变函数
摘要
We show that the Julia set of a non-elementary rational semigroup G is uniformly perfect when there is a uniform bound on the Lipschitz constants of the generators of G. This also proves that the limit set of a non-elementary Moebius group is uniformly perfect when there is a uniform bound on the Lipschitz constants of the generators of the group and this implies that the limit set of a finitely generated non-elementary Kleinian group is uniformly perfect.
引用
@article{arxiv.math/9810089,
title = {Uniformly perfect sets, rational semigroups, Kleinian groups and IFS's},
author = {Rich Stankewitz},
journal= {arXiv preprint arXiv:math/9810089},
year = {2007}
}
备注
6 pages