Quasisymmetrically inequivalent  hyperbolic Julia sets

Peter Haïssinsky
Université Paul Sabatier, Toulouse, France
- MathSciNet
- zbMATH Open
Kevin M. Pilgrim
Indiana University, Bloomington, USA

Abstract

We give explicit examples of pairs of Julia sets of hyperbolic rational maps which are homeomorphic but not quasisymmetrically homeomorphic.

Peter Haïssinsky, Kevin M. Pilgrim, Quasisymmetrically inequivalent hyperbolic Julia sets. Rev. Mat. Iberoam. 28 (2012), no. 4, pp. 1025–1034