Submitted by ims_edit on Tue, 07/09/2024 - 13:00
preprint-id:
preprint-title:
On quasiconformal non-equivalence of gasket Julia sets and limit sets
preprint-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.
Submitted 19 February, 2024; originally announced February 2024.
preprint-year:
2024