3 papers
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.AP2008★ 6 cited
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.
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.…