Sets which are not tube null and intersection properties of random measures

DOI10.1112/jlms/jdu083zbMath1317.28004arXiv1204.5883OpenAlexW3099344472MaRDI QIDQ5245677

Pablo Shmerkin, Ville Suomala

Publication date: 14 April 2015

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5883

zbMATH Keywords

Fourier transformHausdorff dimensionrandom measurestube null sets

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (7)

Resonances for open quantum maps and a fractal uncertainty principle ⋮ Distribution of random Cantor sets on tubes ⋮ Random cutout sets with spatially inhomogeneous intensities ⋮ A Class of Random Cantor Measures, with Applications ⋮ Projections in vector spaces over finite fields ⋮ Spatially independent martingales, intersections, and applications ⋮ Projections of random covering sets

Cites Work

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• Pointwise Fourier inversion and localisation in \(\mathbb{R}^n\)
• The dimension of projections of fractal percolations
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• On the Tube Occupancy of Sets in ℝ^d
• Large sets with limited tube occupancy
• Dimension of slices through the Sierpinski carpet
• The sharp Hausdorff measure condition for length of projections

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