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math.CV2002
A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature
Itai Benjamini, Sergei Merenkov, Oded Schramm
Consider a simply connected Riemann surface represented by a Speiser graph. Nevanlinna asked if the type of the surface is determined by the mean excess of the graph: whether mean…
math.PR2002
On the scaling limit of planar self-avoiding walk
Gregory F. Lawler, Oded Schramm, Wendelin Werner
A planar self-avoiding walk (SAW) is a nearest neighbor random walk path in the square lattice with no self-intersection. A planar self-avoiding polygon (SAP) is a loop with no sel…