Conditions for Infinitely Generated Kleinian Groups with Small Limit Sets

Document Type

Peer-Reviewed Article

Publication Date

2013

Abstract

We provide conditions for an infinitely generated Kleinian group to have its exponent of convergence arbitrarily small and the Hausdorff dimension of the limit set less than two. We use theory developed by Patterson to show that the exponent of convergence is small. To obtain the conclusion about the Hausdorff dimension of the limit set of the group we use porosity.

DOI

10.1080/1726037X.2013.853513

Link to Full Text


Share

COinS