Geometric renormalisation and Hausdorff dimension for loop-approximable geodesics escaping to infinity
Dynamical Systems
2010-09-03 v1
Abstract
The main result of this paper is to show that if \H is a normal subgroup of a Kleinian group such that G/\H contains a coset which is represented by some loxodromic element, then the Hausdorff dimension of the transient limit set of \H coincides with the Hausdorff dimension of the limit set of . This observation extends previous results by Fern\'andez and Meli\'an for Riemann surfaces.
Cite
@article{arxiv.1009.0468,
title = {Geometric renormalisation and Hausdorff dimension for loop-approximable geodesics escaping to infinity},
author = {Kurt Falk and Bernd O. Stratmann},
journal= {arXiv preprint arXiv:1009.0468},
year = {2010}
}
Comments
11 pages, 3 figures