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math.CV2012
A new class of harmonic measure distribution functions
Ariel Barton, Lesley A. Ward
Let D be a planar domain containing 0. Let h_D(r) be the harmonic measure at 0 in D of the part of the boundary of D within distance r of 0. The resulting function h_D is called th…
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…