Minimality and nonergodicity on a family of flat surfaces in genus 3

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dc.creatorNipper, Emanuel
dc.date2008-01-03
dc.date.accessioned2026-07-07T08:52:16Z
dc.date.available2026-07-07T08:52:16Z
dc.descriptionWe prove that a certain family of flat surfaces in genus 3 does not fulfill Veech's Dichotomy. These flat surfaces provide uncountably many minimal but nonergodic directions. The conditions on this family are a combinatorical one and an irrationality condition. The Arnoux-Yoccoz surface fulfills this conditions.
dc.description10 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0801.0466
dc.identifierhttp://arxiv.org/abs/0801.0466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145226
dc.subjectDynamical Systems
dc.subject37D40; 37E35
dc.titleMinimality and nonergodicity on a family of flat surfaces in genus 3
dc.typetext

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