Fractal dimension of the boundary of cantorvals
| dc.contributor.author | Karvatskyi, Dmytro | |
| dc.date.accessioned | 2024-06-14T05:48:50Z | |
| dc.date.available | 2024-06-14T05:48:50Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We say that a Cantorval 𝑋 is achievable if there exists a convergent positive series Σ︀ 𝑢𝑛 such that 𝑋 = 𝐸(𝑢𝑛). Taking into account the above theorem, there naturally arises the question: Is the boundary 𝑋𝐶 for an arbitrary Cantorval 𝑋 a fractal set? | en_US |
| dc.identifier.citation | Karvatskyi D. M. Fractal dimension of the boundary of Cantorvals / D. M. Karvatskyi // XII Всеукраїнська наукова конференцiя молодих математикiв, Київ, 9-11 травня 2024 р. : [збірник тез /оргком.: Глибовець А. М. та ін.] ; Нацiональний унiверситет Києво-Могилянська академiя" [та ін.]. - [Київ : б. в.], 2024. - C. 69. | en_US |
| dc.identifier.uri | https://ekmair.ukma.edu.ua/handle/123456789/29802 | |
| dc.language.iso | en | en_US |
| dc.relation.source | XII Всеукраїнська наукова конференцiя молодих математикiв: збірник тез доповідей, 9-11 травня 2024 року | uk_UA |
| dc.status | first published | en_US |
| dc.subject | the closed bounded set | en_US |
| dc.subject | singletons | en_US |
| dc.subject | the interior | en_US |
| dc.subject | Hausdorff dimension | en_US |
| dc.subject | conference abstracts | en_US |
| dc.title | Fractal dimension of the boundary of cantorvals | en_US |
| dc.type | Conference materials | uk_UA |
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