| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4665049 | Advances in Mathematics | 2016 | 40 Pages |
Abstract
We prove that if ξ is a quasisymmetric homeomorphism between Sierpiński carpets that are Julia sets of postcritically-finite rational maps, then ξ is the restriction of a Möbius transformation. This implies that the group of quasisymmetric homeomorphisms of a Sierpiński carpet Julia set of a postcritically-finite rational map is finite.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mario Bonk, Mikhail Lyubich, Sergei Merenkov,