Dimension estimates on circular (s,t)-Furstenberg sets

DOI10.54330/AFM.128073arXiv2204.01770OpenAlexW4360990948MaRDI QIDQ6047183

Jiayin Liu

Publication date: 7 September 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01770

zbMATH Keywords

Hausdorff dimensionFurstenberg setcircular Furstenberg set

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• An improved bound for the dimension of \((\alpha,2\alpha)\)-Furstenberg sets
• On continuum incidence problems related to harmonic analysis.
• Local smoothing type estimates on \(L^p\) for large \(p\)
• Integrability of orthogonal projections, and applications to 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
• A Kakeya-type problem for circles
• 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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