JournalsrmiVol. 28, No. 4pp. 1025–1034

Quasisymmetrically inequivalent hyperbolic Julia sets

  • Peter Haïssinsky

    Université Paul Sabatier, Toulouse, France

  • Kevin M. Pilgrim

    Indiana University, Bloomington, USA
Quasisymmetrically inequivalent hyperbolic Julia sets cover
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Abstract

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

Cite this article

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

DOI 10.4171/RMI/701