PR ] 2 0 D ec 2 00 1 Conformal invariance of planar loop-erased random walks and uniform spanning trees

@inproceedings{Lawler2001PR2,
  title={PR ] 2 0 D ec 2 00 1 Conformal invariance of planar loop-erased random walks and uniform spanning trees},
  author={Gregory F. Lawler and O. Schramm and Wendelin Werner},
  year={2001}
}
This paper proves that the scaling limit of loop-erased random walk in a simply connected domain D $ C is equal to the radial SLE2 path. In particular, the limit exists and is conformally invariant. It follows that the scaling limit of the uniform spanning tree in a Jordan domain exists and is conformally invariant. Assuming that ∂D is a C1 simple closed curve, the same method is applied to show that the scaling limit of the uniform spanning tree Peano curve, where the tree is wired along a… CONTINUE READING
Highly Influential
This paper has highly influenced 23 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 128 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 33 references

Similar Papers

Loading similar papers…