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On the equivalence of homogeneous iterated function systems

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Publication:2857755
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DOI10.1088/0951-7715/26/10/2767zbMath1276.28015OpenAlexW1996150485MaRDI QIDQ2857755

Ka-Sing Lau, Qi-Rong Deng

Publication date: 5 November 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/26/10/2767


zbMATH Keywords

Julia setsCantor setsfractalsSierpinski gasketself-similar setiterated function system (IFS)attractor of the IFS


Mathematics Subject Classification ID

Fractals (28A80)


Related Items

Affine embeddings of Cantor sets and dimension of \(\alpha\beta\)-sets ⋮ Generating Iterated Function Systems for the Vicsek Snowflake and the Koch Curve ⋮ Affine embeddings of Cantor sets in the plane ⋮ Generating iterated function systems of some planar self-similar sets ⋮ Generating iterated function systems for self-similar sets with a separation condition ⋮ The intersections of self-similar and self-affine sets with their perturbations under the weak separation condition ⋮ On the structure of \(\lambda\)-Cantor set with overlaps ⋮ On a kind of self-similar sets with complete overlaps ⋮ On the group of isometries of planar IFS fractals* ⋮ Continuous dependence on parameters of self-affine sets and measures



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