Self-similar dendrites generated by polygonal systems in the plane

Mary Samuel; Andrey V. Tetenov; Dmitry A. Vaulin

doi:10.17377/semi.2017.14.063

Self-similar dendrites generated by polygonal systems in the plane

Mary Samuel, Andrey V. Tetenov, Dmitry A. Vaulin

Результат исследования: Научные публикации в периодических изданиях › статья

3 Цитирования (Scopus)

Аннотация

We define a class of self-similar dendrites in ℝ² generated by system S of similarity maps of a convex polygon P and find upper bound for the order of their ramification points, show that such dendrites are continua of bounded turning and prove Hölder continuity of their isomorphisms.

Язык оригинала	английский
Страницы (с-по)	737-751
Число страниц	15
Журнал	Siberian Electronic Mathematical Reports
Том	14
DOI	https://doi.org/10.17377/semi.2017.14.063
Состояние	Опубликовано - 1 янв 2017

Доступ к документу

10.17377/semi.2017.14.063

Link to publication in Scopus

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Цитировать

Samuel, M., Tetenov, A. V., & Vaulin, D. A. (2017). Self-similar dendrites generated by polygonal systems in the plane. Siberian Electronic Mathematical Reports, 14, 737-751. https://doi.org/10.17377/semi.2017.14.063

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