Hausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets

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dc.creatorYin, Qinghe
dc.date2007-06-29
dc.date.accessioned2026-07-07T08:13:05Z
dc.date.available2026-07-07T08:13:05Z
dc.descriptionWe consider digits-deleted sets or Cantor-type sets with $β$-expansions. We calculate the Hausdorff dimension $d$ of these sets and show that $d$ is continuous with respect to $β$. The $d$-dimentional Hausdorff measure of these sets is finite and positive.
dc.identifierhttps://arxiv.org/abs/0706.4343
dc.identifierhttp://arxiv.org/abs/0706.4343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132679
dc.subjectDynamical Systems
dc.subjectMetric Geometry
dc.titleHausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets
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