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math.PR2018
Transition probabilities for infinite two-sided loop-erased random walks
Christian Beneš, Gregory F. Lawler, Fredrik Viklund
The infinite two-sided loop-erased random walk (LERW) is a measure on infinite self-avoiding walks that can be viewed as giving the law of the `middle part' of an infinite LERW loo…
math.PR2018★ 12 cited
One-dimensional scaling limits in a planar Laplacian random growth model
Alan Sola, Amanda Turner, Fredrik Viklund
We consider a family of growth models defined using conformal maps in which the local growth rate is determined by , where is the aggregate map for particles…