Generalized staircases: recurrence and symmetry

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study infinite translation surfaces which are Z-covers of compact translation surfaces. We obtain conditions ensuring that such surfaces have Veech groups which are Fuchsian of the first kind and give a necessary and sufficient condition for recurrence of their straight-line flows. Extending results of Hubert and Schmithusen, we provide examples of infinite non-arithmetic lattice surfaces, as well as surfaces with infinitely generated Veech groups.
13 pages, 3 figures

Keywords

Dynamical Systems, 37Exx

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/231163

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.3736
 http://arxiv.org/abs/0905.3736

Collections

arXiv