8 citations · 20 across the 4 of their papers we have counts for
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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.CV2008★ 3 cited
Optimal regularity for planar mappings of finite distortion
Kari Astala, James Gill, Steffen Rohde +1
Let $f:Ω\to\IR^2$ be a mapping of finite distortion, where $Ω\subset\IR^2 .$ Assume that the distortion function satisfies for some $p>0.…
math.CV2006★ 8 cited
Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings
Kari Astala, Albert Clop, Joan Mateu +2
The classical Painlevé theorem tells that sets of zero length are removable for bounded analytic functions, while (some) sets of positive length are not. For general -quasiregul…