On some exotic Schottky groups
Dynamical Systems
2010-10-29 v1
Abstract
We construct a Cartan-Hadamard manifold with pinched negative curvature whose group of isometries possesses divergent discrete free subgroups with parabolic elements who do not satisfy the so-called "parabolic gap condition" . This construction relies on the comparaison between the Poincar\'e series of these free groups and the potential of some transfer operator which appears naturally in this context.
Cite
@article{arxiv.1010.5869,
title = {On some exotic Schottky groups},
author = {Marc Peigné},
journal= {arXiv preprint arXiv:1010.5869},
year = {2010}
}