Visible parts of fractal percolation

DOI10.1017/S0013091509001680zbMath1251.28007arXiv0911.3931OpenAlexW2962794507MaRDI QIDQ2891987

Ida Arhosalo, Esa Järvenpää, Pablo Shmerkin, Maarit Järvenpää, Michał Rams

Publication date: 18 June 2012

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

Full work available at URL: https://arxiv.org/abs/0911.3931

zbMATH Keywords

Hausdorff dimensionfractal percolationvisible part

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (11)

Fractal percolation is unrectifiable ⋮ Fractal percolations ⋮ On dimensions of visible parts of self-similar sets with finite rotation groups ⋮ On the dimension of visible parts ⋮ VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS ⋮ Spatially independent martingales, intersections, and applications ⋮ Quantitative visibility estimates for unrectifiable sets in the plane ⋮ Visible part of dominated self-affine sets in the plane ⋮ Sixty Years of Fractal Projections ⋮ Some Variants of Orponen’s Theorem on Visible Parts of Fractal Sets ⋮ The Geometry of Fractal Percolation

Cites Work

• Connectivity properties of Mandelbrot's percolation process
• On the geometry of random Cantor sets and fractal percolation
• Hausdorff dimension, projections, and the Fourier transform
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• The Hausdorff dimension of visible sets of planar continua
• Percolation
• Visible parts and dimensions
• Unnamed Item

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