On quasisymmetric structure parameterization of attractors of special graph-directed function systems (Q845142)
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scientific article; zbMATH DE number 5666522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On quasisymmetric structure parameterization of attractors of special graph-directed function systems |
scientific article; zbMATH DE number 5666522 |
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On quasisymmetric structure parameterization of attractors of special graph-directed function systems (English)
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5 February 2010
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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.
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iterated function system
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graph-directed system
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attractor
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