We consider a random object that is associated with both random walks and random media, specifically, the superposition of a configuration of subcritical Bernoulli percolation on an infinite connected ...

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 ...