The Gauss map on a class of interval translation mappings

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dc.creatorBruin, H.
dc.creatorTroubetzkoy, S.
dc.date2002-11-22
dc.date2002-12-17
dc.date.accessioned2026-07-07T04:53:12Z
dc.date.available2026-07-07T04:53:12Z
dc.descriptionWe study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transformation) and that the complement contains a Cantor set. We relate our maps to substitution subshifts. Results on Hausdorff dimension of the attractor and on unique ergodicity are obtained.
dc.identifierhttps://arxiv.org/abs/math/0211351
dc.identifierhttp://arxiv.org/abs/math/0211351
dc.identifierIsrael Journal of Mathematics 137 (2003) 125-148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65752
dc.subjectDynamical Systems
dc.subject37E05; 37B10
dc.titleThe Gauss map on a class of interval translation mappings
dc.typetext

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