Linear fractals of the Besicovitch-Eggleston type
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908867960504320 |
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| author | Pratsiovytyi, M. V. Klymchuk, S. O. |
| author_facet | Pratsiovytyi, M. V. Klymchuk, S. O. |
| contents | We study topological, metric and fractal properties of set of numbers $[0;1]$ with given asymptotic mean of digits in their ternary representation. We investigate connection of these numbers and numbers with a given frequency of digits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03396 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear fractals of the Besicovitch-Eggleston type Pratsiovytyi, M. V. Klymchuk, S. O. Number Theory Functional Analysis 11K55, 26A27, 26A30 We study topological, metric and fractal properties of set of numbers $[0;1]$ with given asymptotic mean of digits in their ternary representation. We investigate connection of these numbers and numbers with a given frequency of digits. |
| title | Linear fractals of the Besicovitch-Eggleston type |
| topic | Number Theory Functional Analysis 11K55, 26A27, 26A30 |
| url | https://arxiv.org/abs/2603.03396 |