Twofold cantor sets in ℝ

Kirill Kamalutdinov; Andrei Tetenov

doi:10.17377/semi.2018.15.066

Twofold cantor sets in ℝ

Kirill Kamalutdinov, Andrei Tetenov

Результат исследования: Научные публикации в периодических изданиях › статья

2 Цитирования (Scopus)

Аннотация

A symmetric Cantor set K_pq in [0, 1] with double fixed points 0 and 1 and contraction ratios p and q is called twofold Cantor set if it satisfies special exact overlap condition. We prove that all twofold Cantor sets have isomorphic self-similar structures and do not have weak separation property and that for Lebesgue-almost all (p, q) ∈ [0, 1/16]² the sets K_pq are twofold Cantor sets.

Язык оригинала	английский
Страницы (с-по)	801-814
Число страниц	14
Журнал	Siberian Electronic Mathematical Reports
Том	15
DOI	https://doi.org/10.17377/semi.2018.15.066
Состояние	Опубликовано - 1 янв 2018

Доступ к документу

10.17377/semi.2018.15.066

Link to publication in Scopus

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Цитировать

Kamalutdinov, K., & Tetenov, A. (2018). Twofold cantor sets in ℝ. Siberian Electronic Mathematical Reports, 15, 801-814. https://doi.org/10.17377/semi.2018.15.066

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