Quantitative visibility estimates for unrectifiable sets in the plane

DOI10.1090/tran/6585zbMath1339.28007arXiv1306.5469OpenAlexW2017601359MaRDI QIDQ2790702

Matthew Bond, Izabella Łaba, Joshua Zahl

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1306.5469

zbMATH Keywords

Hausdorff dimensionHardy-Littlewood operatorradial projectionvisibilityself-similar setFavard lengthdiscrete unrectifiabilityvantage points

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (13)

Spectral gaps, additive energy, and a fractal uncertainty principle ⋮ The exact power law for Buffon's needle landing near some random Cantor sets ⋮ Transversal families of nonlinear projections and generalizations of Favard length ⋮ A non-linear version of Bourgain's projection theorem ⋮ A nonlinear projection theorem for Assouad dimension and applications ⋮ On the dimension of visible parts ⋮ Kaufman and Falconer estimates for radial projections and a continuum version of Beck's theorem ⋮ A sharp exceptional set estimate for visibility ⋮ On the dimension and smoothness of radial projections ⋮ VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS ⋮ On Hausdorff dimension of radial projections ⋮ Multiplication on uniform λ-Cantor sets ⋮ Visible part of dominated self-affine sets in the plane

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