Submitted by math_admin on Sat, 03/07/2020 - 08:03
preprint-id:
preprint-title:
Quasisymmetries of Sierpinski carpet Julia sets
preprint-abstract:
We prove that if $\xi$ is a quasisymmetric homeomorphism between Sierpinski carpets that are the Julia sets of postcritically-finite rational maps, then $\xi$ is the restriction of a Mobius transformation to the Julia set. This implies that the group of quasisymmetric homeomorphisms of a Sierpinski carpet Julia set of a postcritically-finite rational map is finite.
preprint-year:
2014