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.
| Original language | English |
|---|---|
| Pages (from-to) | 3465-3489 |
| Number of pages | 25 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 45 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 1 2025 |
Keywords
- Apollonian gasket
- Julia sets
- circle packings
- limit sets
- quasiconformal non-equivalence
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