An improved bound for the dimension of \((\alpha,2\alpha)\)-Furstenberg sets
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Publication:832447
DOI10.4171/RMI/1281zbMath1504.28003arXiv2001.11304MaRDI QIDQ832447
Kornélia Héra, Pablo Shmerkin, Alexia Yavicoli
Publication date: 25 March 2022
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.11304
Related Items (7)
Additive properties of fractal sets on the parabola ⋮ An incidence estimate and a Furstenberg type estimate for tubes in \(\mathbb{R}^2\) ⋮ On the packing dimension of Furstenberg sets ⋮ Integrability of orthogonal projections, and applications to Furstenberg sets ⋮ Dimension estimates on circular (s,t)-Furstenberg sets ⋮ On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane ⋮ Kaufman and Falconer estimates for radial projections and a continuum version of Beck's theorem
Cites Work
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- Exceptional sets of projections, unions of \(k\)-planes and associated transforms
- The discretized sum-product and projection theorems
- Orthogonal projections of discretized sets
- On the packing dimension of Furstenberg sets
- Bounding the dimension of points on a line
- An improved bound on the packing dimension of Furstenberg sets in the plane
- Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets
- On the Erdős-Volkmann and Katz-Tao ring conjectures
- Furstenberg sets for a fractal set of directions
- On restricted families of projections in ℝ3
- Dimension estimates for Kakeya sets defined in an axiomatic setting
- On the Discretized Sum-Product Problem
- Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity
- Some connections between Falconer's distance set conjecture and sets of Furstenburg type
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