English

Intersecting limit sets of Kleinian subgroups and Susskind's question

Dynamical Systems 2020-07-22 v4

Abstract

We construct a non-elementary Fuchsian group that admits two non-elementary subgroups with trivial intersection and whose radial limit sets intersect non-trivially. This negatively answers a question of Perry Susskind (1989) that was stated as a conjecture by James W. Anderson (2014).

Cite

@article{arxiv.1802.07654,
  title  = {Intersecting limit sets of Kleinian subgroups and Susskind's question},
  author = {Tushar Das and David Simmons},
  journal= {arXiv preprint arXiv:1802.07654},
  year   = {2020}
}
R2 v1 2026-06-23T00:29:01.887Z