8 citations · 20 across the 4 of their papers we have counts for
4 papers
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…
Homeomorphic Solutions to Reduced Beltrami Equations
Kari Astala, Jarmo Jääskeläinen
We study differential expressions related to linear families of quasiconformal mappings and give a simple and direct proof to a result due to Alessandrini and Nesi arXiv:0707.0727.
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.…
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…