Box-counting dimensions of popcorn subsets

DOI10.1016/j.jmaa.2023.127088OpenAlexW4319335709MaRDI QIDQ2698059

Yali Du, Chun Wei, Sheng You Wen

Publication date: 14 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127088

zbMATH Keywords

box-counting dimension\(\beta\)-conditionlogarithm densitypopcorn subset

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Distribution of primes (11N05) Arithmetic progressions (11B25) Hausdorff and packing measures (28A78) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Cites Work

• The primes contain arbitrarily long arithmetic progressions
• Khintchine's problem in metric diophantine approximation
• The Difference Between Consecutive Primes, II
• Fractals in Probability and Analysis
• REMARKS ON DIMENSIONS OF CARTESIAN PRODUCT SETS
• Some geometric properties of sets defined by digit restrictions
• On sets of integers containing k elements in arithmetic progression
• ON THE PROBLEM OF JACOBSTHAL
• Arithmetic patches, weak tangents, and dimension
• QUASI-LOWER DIMENSION AND QUASI-LIPSCHITZ MAPPING
• On sets of integers containing no four elements in arithmetic progression
• On the Application of the Borel-Cantelli Lemma
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