Some dimensional results for a class of special homogeneous Moran sets

DOI10.1007/S10587-016-0245-2zbMath1374.28007OpenAlexW2328865344MaRDI QIDQ2810162

Xiaomei Hu

Publication date: 31 May 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144872

zbMATH Keywords

Hausdorff dimensionhomogeneous Moran set\(\{m_{k}\}\)-Moran set\(\{m_{k}\}\)-quasi homogeneous Cantor set

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (2)

Some dimensional results of a class of homogeneous Moran sets ⋮ Some Hausdorff dimensional results for homogeneous Moran sets in \({\mathbb {R}}^d\)

Cites Work

• Fatness and thinness of uniform Cantor sets for doubling measures
• Pointwise dimensions of general Moran measures with open set condition
• Hausdorff dimension of certain sets arising in continued fraction expansions
• Some dimensional results for homogeneous Moran sets
• The singularity spectrum \(f(\alpha)\) of some Moran fractals
• Doubling measures on Cantor sets and their extensions
• The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
• Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
• On the sum of degrees of digits occurring in continued fraction expansions of Laurent series

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