A characterization of Sierpinski carpet Rational maps
classification
🧮 math.DS
keywords
carpetrationalsierpinskicharacterizationequivalentexpandingfatoufinite
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In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is homeomorphic to the standard Sierpinski carpet
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