Abstract
We introduce the Beatty multiplicative shift, which is a generalization of the multiplicative shift of finite type (multiplicative SFT) Kenyon et al. (2012) [18] and the affine multiplicative shift Ban et al. (2025) [3] . 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.
| Original language | English |
|---|---|
| Article number | 130298 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 557 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 05 2026 |
Bibliographical note
Publisher Copyright:© 2025 Elsevier Inc.
Keywords
- Affine multiplicative shifts
- Beatty sequence
- Disjoint cover
- Hausdorff dimension
- Minkowski dimension
- Multiplicative subshifts
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