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math.CV2009★ 3 cited
Random Conformal Weldings
K. Astala, P. Jones, A. Kupiainen +1
We construct a conformally invariant random family of closed curves in the plane by welding of random homeomorphisms of the unit circle. The homeomorphism is constructed using the…
math.CV1996
Fuchsian Groups, Quasiconformal Groups, and Conical Limit Sets
Peter W. Jones, Lesley A. Ward
We construct examples showing that the normalized Lebesgue measure of the conical limit set of a uniformly quasiconformal group acting discontinuously on the disc may take any valu…