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Properties of some overlapping self-similar and some self-affine measures

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Publication:700345
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DOI10.1023/A:1013716430425zbMath1002.28011MaRDI QIDQ700345

Jörg Neunhäuserer

Publication date: 20 October 2002

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

Hausdorff dimensionbox-counting dimensionself-similarBernoulli convolutionsself-affine


Mathematics Subject Classification ID

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


Related Items (8)

Absolute continuity of non-homogeneous self-similar measures ⋮ A construction of singular overlapping asymmetric self-similar measures ⋮ Geometric series with randomly increasing exponents ⋮ Number theoretical peculiarities in the dimension theory of dynamical systems. ⋮ Fourier decay for self-similar measures ⋮ Multifractality of overlapping non-uniform self-similar measures ⋮ Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian ⋮ Typical absolute continuity for classes of dynamically defined measures







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