Attractors of iterated function systems and associated graphs

Kodai Mathematical Journal

Dan Dumitru²  Alexandru Mihail¹ 

[1] University of Bucharest Department of Mathematics and Computer Science;"Spiru Haret" University of Bucharest Department of Mathematics and Computer Science

关键词: attractors;    iterated function system;    dendrites;   

DOI  :  10.2996/kmj/1404393900

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(20)The aim of this article is to establish some conditions under which the attractors of iterated function systems become dendrites. We associate to an attractor of an iterated function system (IFS) some graphs and we prove that for a large class of IFSs their attractors are dendrites if the associated graphs are trees. We also give some examples of such sets.

【 授权许可】

Unknown