Elementary fractal geometry. 5. Weak separation is strong separation

Autor:	Bandt, Christoph, Barnsley, Michael F.
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems Computer Science - Computation and Language 28A80 11A63 37B10 54B15 68Q45
Druh dokumentu:	Working Paper
Popis:	For self-similar sets, there are two important separation properties: the open set condition and the weak separation condition introduced by Zerner, which may be replaced by the formally stronger finite type property of Ngai and Wang. We show that any finite type self-similar set can be represented as a graph-directed construction obeying the open set condition. The proof is based on a combinatorial algorithm which performed well in computer experiments. Comment: 27 pages, 12 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.04892 Zobrazit plný text záznamu View this record from Arxiv