On quasisymmetric structure parameterization of attractors of special graph-directed function systems
type: Item
instance of: scholarly article
title: On quasisymmetric structure parameterization of attractors of special graph-directed function systems
zbMATH Open document ID: 1187.37027
DOI: 10.1134/S1064562409040139
published in: Doklady Mathematics
publication date: 2010-02-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 5666522
zbMATH Keywords: iterated function system
zbMATH Keywords: graph-directed system
zbMATH Keywords: attractor
author: V. V. Aseev
reviewed by: Christian Pötzsche
MaRDI profile type: Publication
cites work: Q3731958
cites work: Boundary correspondence under quasiconformal mappings
cites work: The boundary correspondence under quasiconformal mappings
cites work: Quasisymmetric embeddings of metric spaces
cites work: The space of quasisymmetric mappings.
cites work: Hausdorff dimension and quasisymmetric mappings.
full work available at URL: s1064562409040139
OpenAlex ID: W1981125714
description: scientific article; zbMATH DE number 5666522