Generalized staircases: recurrence and symmetry

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dc.creatorHooper, W. Patrick
dc.creatorWeiss, Barak
dc.date2009-05-22
dc.date.accessioned2026-07-07T13:17:36Z
dc.date.available2026-07-07T13:17:36Z
dc.descriptionWe 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.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0905.3736
dc.identifierhttp://arxiv.org/abs/0905.3736
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231163
dc.subjectDynamical Systems
dc.subject37Exx
dc.titleGeneralized staircases: recurrence and symmetry
dc.typetext

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