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math.PR2005
On the scaling limit of simple random walk excursion measure in the plane
Michael J. Kozdron
The Brownian excursion measure is a conformally invariant infinite measure on curves. It figured prominently in one of the first major applications of SLE, namely the explicit calc…
math.PR2005
Estimates of random walk exit probabilities and application to loop-erased random walk
Michael J. Kozdron, Gregory F. Lawler
We prove an estimate for the probability that a simple random walk in a simply connected subset A of Z^2 starting on the boundary exits A at another specified boundary point. The e…