206 citations · 940 across the 55 of their papers we have counts for
4 papers · 1 filter
Conformal invariance of planar loop-erased random walks and uniform spanning trees
Gregory F. Lawler, Oded Schramm, Wendelin Werner
We prove that the scaling limit of loop-erased random walk in a simply connected domain is equal to the radial SLE(2) path in . In particular, the limit exists and is confor…
Critical exponents for two-dimensional percolation
Stanislav Smirnov, Wendelin Werner
We show how to combine Kesten's scaling relations, the determination of critical exponents associated to the stochastic Loewner evolution process by Lawler, Schramm, and Werner, an…
One-arm exponent for critical 2D percolation
Gregory F. Lawler, Oded Schramm, Wendelin Werner
The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than is proved to decay like as .
Sharp estimates for Brownian non-intersection probabilities
Greg Lawler, Oded Schramm, Wendelin Werner
This paper gives an accessible (but still technical) self-contained proof to the fact that the intersection probabilities for planar Brownian motion are given in terms of the inter…