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math.PR2018★ 5 cited
Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure
Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang
In this paper we prove that the stationary harmonic measure of an infinite set in the upper planar lattice can be represented as the proper scaling limit of the classical harmonic…
math.PR2018
Stabilization of DLA in a wedge
Eviatar B. Procaccia, Ron Rosenthal, Yuan Zhang
We consider Diffusion Limited Aggregation (DLA) in a two-dimensional wedge. We prove that if the angle of the wedge is smaller than , there is some such that almost sure…