Complete quasisymmetric classification and rigidity proof for Julia sets of postcritically finite McMullen maps, establishing first rigid examples in carpet, necklace, and cluster classes.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.DS 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
No local quasiconformal map exists between Sierpiński carpet limit sets of convex-cocompact Kleinian groups and Julia sets of postcritically finite rational maps.
citing papers explorer
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Rigidity of McMullen Julia sets
Complete quasisymmetric classification and rigidity proof for Julia sets of postcritically finite McMullen maps, establishing first rigid examples in carpet, necklace, and cluster classes.
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On locally distinguishing Sierpi\'nski dynamical systems
No local quasiconformal map exists between Sierpiński carpet limit sets of convex-cocompact Kleinian groups and Julia sets of postcritically finite rational maps.