Properties of measures supported on fat Sierpinski carpets

DOI10.1017/S0143385705000696zbMath1114.28006OpenAlexW2133049948MaRDI QIDQ5481533

Mark Pollicott, Thomas M. Jordan

Publication date: 10 August 2006

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385705000696

zbMATH Keywords

Hausdorff dimensionpositive measureopen set conditionsimilarity dimension(conformal) Iterated Function System

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (7)

Absolute continuity of complex Bernoulli convolutions ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ On the dimensions of a family of overlapping self-affine carpets ⋮ Critical base for the unique codings of fat Sierpinski gasket ⋮ An infinitely generated self-similar set with positive Lebesgue measure and empty interior ⋮ The Hausdorff dimension of some planar sets with unbounded digits ⋮ On the Interior of “Fat” Sierpiński Triangles

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