Lawler, Schramm and Werner showed that the scaling limit of the loop-erased random walk on ℤ 2 is SLE 2 . We consider scaling limits of the loop-erasure of random walks on other planar graphs (graphs ...
This is a preview. Log in through your library . Abstract We consider a linearly edge-reinforced random walk on a class of two-dimensional graphs with constant initial weights. The graphs are obtained ...
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