Dimension Conservation for Self-Similar Sets and Fractal Percolation

DOI10.1093/imrn/rnv103zbMath1351.28012arXiv1409.1882OpenAlexW2067849838MaRDI QIDQ3466432

Xiong Jin, Kenneth J. Falconer

Publication date: 1 February 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1882

zbMATH Keywords

projectionsHausdorff dimensionfractal percolation

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (12)

Fractal percolations ⋮ A self-similar measure with dense rotations, singular projections and discrete slices ⋮ Assouad Spectrum Thresholds for Some Random Constructions ⋮ Exceptional projections of sets exhibiting almost dimension conservation ⋮ Self-Similar Sets: Projections, Sections and Percolation ⋮ On self-similar measures with absolutely continuous projections and dimension conservation in each direction ⋮ On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions ⋮ The quasi-Assouad dimension of stochastically self-similar sets ⋮ Sixty Years of Fractal Projections ⋮ Projections of Self-Similar and Related Fractals: A Survey of Recent Developments ⋮ Dimension approximation of attractors of graph directed IFSs by self-similar sets ⋮ Exact dimensionality and projection properties of Gaussian multiplicative chaos measures

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