Transversal families of nonlinear projections and generalizations of Favard length
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Publication:6046073
DOI10.2140/apde.2023.16.279zbMath1527.28002arXiv2105.01708MaRDI QIDQ6046073
Rosemarie Bongers, Krystal Taylor
Publication date: 15 May 2023
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.01708
energytransversalityfractalsrectifiabilityrate of decaynonlinear projectionsFavard lengthBuffon needleradial projectionscurve projectionstransversal projections
Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) General position and transversality (57N75)
Related Items (1)
Cites Work
- Unnamed Item
- The discretized sum-product and projection theorems
- Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
- A quantification of a Besicovitch non-linear projection theorem via multiscale analysis
- An estimate from below for the Buffon needle probability of the four-corner Cantor set
- Visibility for self-similar sets of dimension one in the plane
- Circular Favard length of the four-corner Cantor set
- On the fundamental geometrical properties of linearly measurable plane sets of points. III
- Quantitative visibility estimates for unrectifiable sets in the plane
- Recent Progress on Favard Length Estimates for Planar 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
- Measure and dimension for some fractal families
- On the analytic capacity gamma_+
- Geometric bounds for Favard length
- The Hausdorff Dimension of λ-Expansions with Deleted Digits
- Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set
- Interior of sums of planar sets and curves
- Fourier Analysis and Hausdorff Dimension
- Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
- Dimension and measure of sums of planar sets and curves
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