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math.CV2013★ 1 cited
A note on quasiconformal maps with Holder-continuous dilatation
James T. Gill, Steffen Rohde
Here we give an alternate proof of a sufficient condition due to J. Mateu, J. Orobitg, and J. Verdera for a quasiconformal map of the plane with dilatation supported in a smooth do…
math.CV2011
On the Riemann surface type of Random Planar Maps
James T. Gill, Steffen Rohde
We show that the (random) Riemann surfaces of the Angel-Schramm Uniform Infinite Planar Triangulation and of Sheffield's infinite necklace construction are both parabolic. In other…
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.…