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題名 Hausdorff dimensions of Beatty multiplicative shifts
作者 班榮超
Ban, Jung-Chao;Hu, Wen-Guei;Lai, Guan-Yu
貢獻者 應數系
關鍵詞 Multiplicative subshifts; Affine multiplicative shifts; Hausdorff dimension; Minkowski dimension; Beatty sequence; Disjoint cover
日期 2026-05
上傳時間 30-Jan-2026 11:07:01 (UTC+8)
摘要 We introduce the Beatty multiplicative shift, which is a generalization of the multiplicative shift of finite type (multiplicative SFT) Kenyon et al. (2012) and the affine multiplicative shift Ban et al. (2025). We obtain the Hausdorff dimension and Minkowski dimension formulas. It turns out that the coefficients of the formula are closely related to the classical disjoint covering of the positive integers in number theory.
關聯 Journal of Mathematical Analysis and Applications, Vol.557, No.2, 130298
資料類型 article
DOI https://doi.org/10.1016/j.jmaa.2025.130298
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao;Hu, Wen-Guei;Lai, Guan-Yu
dc.date (日期) 2026-05
dc.date.accessioned 30-Jan-2026 11:07:01 (UTC+8)-
dc.date.available 30-Jan-2026 11:07:01 (UTC+8)-
dc.date.issued (上傳時間) 30-Jan-2026 11:07:01 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/161275-
dc.description.abstract (摘要) We introduce the Beatty multiplicative shift, which is a generalization of the multiplicative shift of finite type (multiplicative SFT) Kenyon et al. (2012) and the affine multiplicative shift Ban et al. (2025). We obtain the Hausdorff dimension and Minkowski dimension formulas. It turns out that the coefficients of the formula are closely related to the classical disjoint covering of the positive integers in number theory.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Mathematical Analysis and Applications, Vol.557, No.2, 130298
dc.subject (關鍵詞) Multiplicative subshifts; Affine multiplicative shifts; Hausdorff dimension; Minkowski dimension; Beatty sequence; Disjoint cover
dc.title (題名) Hausdorff dimensions of Beatty multiplicative shifts
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/j.jmaa.2025.130298
dc.doi.uri (DOI) https://doi.org/10.1016/j.jmaa.2025.130298