Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions

DOI10.4171/JFG/90zbMath1455.28012arXiv1805.12063MaRDI QIDQ826451

Kota Saito

Publication date: 4 January 2021

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12063

zbMATH Keywords

arithmetic progressionsAssouad dimensionarithmetic patchesdiscrete Kakeya problem

Mathematics Subject Classification ID

Fractals (28A80) Arithmetic progressions (11B25)

Cites Work

• Unnamed Item
• On the dimension of Kakeya sets and related maximal inequalities
• Assouad type dimensions and homogeneity of fractals
• Arithmetic patches, weak tangents, and dimension
• Dimensions of Sets Which Uniformly Avoid Arithmetic Progressions

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