11 citations · 15 across the 4 of their papers we have counts for
5 papers · 1 filter
Intersection probabilities for a chordal SLE path and a semicircle
Tom Alberts, Michael J. Kozdron
We derive a number of estimates for the probability that a chordal SLE path in the upper half plane H intersects a semicircle centred on the real line. We prove that if 0<kappa<8 a…
The scaling limit of Fomin's identity for two paths in the plane
Michael J. Kozdron
We review some recently completed research that establishes the scaling limit of Fomin's identity for loop-erased random walk on Z^2 in terms of the chordal Schramm-Loewner evoluti…
The configurational measure on mutually avoiding SLE paths
Michael J. Kozdron, Gregory F. Lawler
We define multiple chordal SLEs in a simply connected domain by considering a natural configurational measure on paths. We show how to construct these measures so that they are con…
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…
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…