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The classification theorem for simply-connected Bedford-McMullen carpets Доклады на конференциях

Язык Английский
Тип доклада Пленарный
Конференция International Workshop on Nonlinear Analysis and Applications IWNAA24
13-15 нояб. 2024 , University of Belgrade, Serbia
Авторы Tetenov A.V. 1
Организации
1 Институт математики им. С.Л. Соболева СО РАН

Реферат: We prove that non-trivial simply connected Bedford-McMullen carpets are dendrites which have single intersection property. Therefore they have finite self-similar boundary and their main tree may belong to 7 possible topological types.
Библиографическая ссылка: Tetenov A.V.
The classification theorem for simply-connected Bedford-McMullen carpets
International Workshop on Nonlinear Analysis and Applications IWNAA24 13-15 Nov 2024