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math.CV2011
Spacefilling Curves and Phases of the Loewner Equation
Joan Lind, Steffen Rohde
Similar to the well-known phases of SLE, the Loewner differential equation with Lip(1/2) driving terms is known to have a phase transition at norm 4, when traces change from simple…
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…