Area and Hausdorff dimension of Sierpiski carpet Julia sets

Fu, YM; Yang, F

Yang, F (corresponding author), Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China.

MATHEMATISCHE ZEITSCHRIFT, 2020; 294 (3-4): 1441

Abstract

We prove the existence of rational maps whose Julia sets are Sierpiski carpets having positive area. Such rational maps can be constructed such that t......

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