On quasisymmetric structure parameterization of attractors of special graph-directed function systems
Graph-directed iterated function systems generalize Hutchinson's construction of self-similar fractals generated by finite systems of contractive mappings. \textit{J. E. Hutchinson} described a special class of self-similar fractals, namely self-similar curves [Indiana Univ. Math. J. 30, 713--747 (1981; Zbl 0598.28011)], also known as zippers. They have been generalized to multizippers in the framework of graph-directed systems. This paper presents a simplified definition of a Jordan multizipper and presents a result concerning the quasisymmetry problem for a structure parametrization of a Jordan multizipper.
scientific article; zbMATH DE number 5666522