Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set

DOI10.1512/iumj.2022.71.8951OpenAlexW3010546980MaRDI QIDQ5093767

Krystal Taylor, Laura Cladek, Blair Davey

Publication date: 1 August 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03620

zbMATH Keywords

four-corner Cantor setFavard curve lengthBuffon curve problem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75)

Related Items (2)

Transversal families of nonlinear projections and generalizations of Favard length ⋮ Dimension and measure of sums of planar sets and curves

Cites Work

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• Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
• How likely is Buffon's needle to fall near a planar Cantor set?
• An estimate from below for the Buffon needle probability of the four-corner Cantor set
• Circular Favard length of the four-corner Cantor set
• Buffon's needle landing near Besicovitch irregular self-similar sets
• The Favard length of product Cantor sets
• The power law for the Buffon needle probability of the four-corner Cantor set
• Interior of sums of planar sets and curves
• Buffon’s needle estimates for rational product Cantor sets

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