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math.PR2001
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 .
math.PR2001
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…