On a variant of the Kakeya problem in \(\mathbb{R}\)

DOI10.1007/s00013-013-0570-8zbMath1281.28003OpenAlexW2027622380MaRDI QIDQ382270

Caihong Hu, Yu-long Deng, Tai-Man Tang, Jörg M. Thuswaldner, Li-Feng Xi, Shun-Chao Long

Publication date: 18 November 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0570-8

zbMATH Keywords

Hausdorff dimensionMinkowski dimensioncircular Kakeya setKakeya problem

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80)

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Cites Work

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• On some variants of the Kakeya problem
• The algebraic difference of two random Cantor sets: the Larsson family
• A Kakeya-type problem for circles
• On the size of the algebraic difference of two random Cantor sets
• A Plane Set of Measure Zero Containing Circumferences of Every Radius
• A Thin Set of Circles
• Stable intersections of regular Cantor sets with large Hausdorff dimensions

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