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On quasiconformal non-equivalence of gasket Julia sets and limit sets (2402.12709v1)
Published 20 Feb 2024 in math.DS, math.CV, and math.GT
Abstract: This paper studies quasiconformal non-equivalence of Julia sets and limit sets. We proved that any Julia set is quasiconformally different from the Apollonian gasket. We also proved that any Julia set of a quadratic rational map is quasiconformally different from the gasket limit set of a geometrically finite Kleinian group.
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