Discontinuity growth of interval exchange maps

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dc.creatorNovak, Christopher F.
dc.date2008-11-06
dc.date.accessioned2026-07-07T10:16:27Z
dc.date.available2026-07-07T10:16:27Z
dc.descriptionFor an interval exchange map, the number of discontinuities of its iterates either exhibits linear growth or is bounded. This dichotomy is used to prove that the group of interval exchanges does not contain distortion elements, giving examples of groups that do not act faithfully via interval exchanges. As a further application of this dichotomy, a classification of centralizers in the group of interval exchanges is given. This classification of centralizers is used to compute the automorphism group of the interval exchange group.
dc.description32 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0811.1014
dc.identifierhttp://arxiv.org/abs/0811.1014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173513
dc.subjectDynamical Systems
dc.subjectGroup Theory
dc.subject37E05 (Primary) 37C85, 20F28 (Secondary)
dc.titleDiscontinuity growth of interval exchange maps
dc.typetext

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