Minimal nonergodic directions on genus 2 translation surfaces

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dc.creatorCheung, Y.
dc.creatorMasur, H.
dc.date2005-01-19
dc.date2005-07-11
dc.date.accessioned2026-07-07T06:30:33Z
dc.date.available2026-07-07T06:30:33Z
dc.descriptionIt is well-known that on any Veech surface, the dynamics in any minimal direction is uniquely ergodic. In this paper it is shown that for any genus 2 translation surface which is not a Veech surface there are uncountably many minimal but not uniquely ergodic directions.
dc.description15 pages, 2 figures, major simplifications in presentation as recommended by referee, to appear in Ergodic Theory Dynamical Systems
dc.identifierhttps://arxiv.org/abs/math/0501286
dc.identifierhttp://arxiv.org/abs/math/0501286
dc.identifierErgodic Th. Dynam. Sys. 26 (2006), 341--351.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98368
dc.subjectDynamical Systems
dc.subject37D40; 37E35
dc.titleMinimal nonergodic directions on genus 2 translation surfaces
dc.typetext

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