On one-point intersection property for self-similar fractals Научная публикация
| Журнал |
Nonlinearity
ISSN: 0951-7715 , E-ISSN: 1361-6544 |
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| Вых. Данные | Год: 2020, Том: 33, Номер: 1, Страницы: 408 Страниц : 9 DOI: 10.1088/1361-6544/ab4e0e | ||||
| Ключевые слова | self-similar set, open set condition, weal separation property, Hausdorff dimension, single intersection property | ||||
| Авторы |
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| Организации |
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Реферат:
This was a long-standing question since 90s whether one-point intersection property for a self-similar set implies open set condition (OSC). We answer this question negatively. We give an example of a totally disconnected self-similar set which does not have OSC and has minimal overlap of its pieces, that is, all intersections of its pieces are empty except only one, which is a single point.
Библиографическая ссылка:
Tetenov A.
, Kamalutdinov K.
On one-point intersection property for self-similar fractals
Nonlinearity. 2020. V.33. N1. P.408. DOI: 10.1088/1361-6544/ab4e0e WOS Scopus OpenAlex
On one-point intersection property for self-similar fractals
Nonlinearity. 2020. V.33. N1. P.408. DOI: 10.1088/1361-6544/ab4e0e WOS Scopus OpenAlex
Даты:
| Поступила в редакцию: | 17 янв. 2019 г. |
| Принята к публикации: | 15 окт. 2019 г. |
| Опубликована в печати: | 4 дек. 2019 г. |
| Опубликована online: | 4 дек. 2019 г. |
Идентификаторы БД:
| Web of science: | WOS:000632837000001 |
| Scopus: | 2-s2.0-85081312195 |
| OpenAlex: | W2992232891 |