Infinite genus surfaces and irrational polygonal billiards

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dc.creatorValdez, Ferran
dc.date2008-11-05
dc.date2009-05-11
dc.date.accessioned2026-07-07T13:12:55Z
dc.date.available2026-07-07T13:12:55Z
dc.descriptionWe prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientable infinite genus topological real surface with exactly one end.
dc.description15 pages, 18 figures
dc.identifierhttps://arxiv.org/abs/0811.0728
dc.identifierhttp://arxiv.org/abs/0811.0728
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229729
dc.subjectDynamical Systems
dc.titleInfinite genus surfaces and irrational polygonal billiards
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