Hausdorff dimension for ergodic measures of interval exchange transformations

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dc.creatorChaika, Jon
dc.date2008-07-14
dc.date.accessioned2026-07-07T09:50:14Z
dc.date.available2026-07-07T09:50:14Z
dc.descriptionI show that there exist minimal interval exchange transformations with an ergodic measure whose Hausdorff dimension is arbitrarily small, even 0. I will also show that in particular cases one can bound the Hausdorff dimension between $\frac 1 {2r+4}$ and $\frac 1 r$ for any r greater than 1.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0807.2231
dc.identifierhttp://arxiv.org/abs/0807.2231
dc.identifierJournal of Modern Dynamics, July 2008 455-462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164873
dc.subjectDynamical Systems
dc.titleHausdorff dimension for ergodic measures of interval exchange transformations
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