The exact power law for Buffon's needle landing near some random Cantor sets
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Publication:2177531
DOI10.4171/RMI/1138zbMath1437.28018arXiv1801.06904OpenAlexW2995636357MaRDI QIDQ2177531
Publication date: 6 May 2020
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06904
Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)
Related Items (2)
The Buffon's needle problem for random planar disk-like Cantor sets ⋮ A quantification of a Besicovitch non-linear projection theorem via multiscale analysis
Cites Work
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- How likely is Buffon's needle to fall near a planar Cantor set?
- Buffon needle lands in \(\varepsilon\)-neighborhood of a 1-dimensional Sierpiński Gasket with probability at most \(|\log \varepsilon|^{-c}\)
- Hausdorff dimension, projections, and the Fourier transform
- Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
- An estimate from below for the Buffon needle probability of the four-corner Cantor set
- Quantitative visibility estimates for unrectifiable sets in the plane
- Buffon's needle landing near Besicovitch irregular self-similar sets
- Recent Progress on Favard Length Estimates for Planar Cantor Sets
- The Favard length of product Cantor sets
- The power law for the Buffon needle probability of the four-corner Cantor set
- A quantitative version of the Besicovitch projection theorem via multiscale analysis
- Buffon’s needle estimates for rational product Cantor sets
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