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Buried Sierpinski curve Julia sets

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  • In this paper we prove the existence of a new type of Sierpinski curve Julia set for certain families of rational maps of the complex plane. In these families, the complementary domains consist of open sets that are preimages of the basin at $\infty$ as well as preimages of other basins of attracting cycles.
    Mathematics Subject Classification: Primary: 37F45; Secondary: 37F20.


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