Loop-Erasure of Plane Brownian Motion
classification
🧮 math.PR
keywords
browniancurveloop-erasuremotionplaneconnectedcouplingdomain
read the original abstract
We use the coupling technique to prove that there exists a loop-erasure of a plane Brownian motion stopped on exiting a simply connected domain, and the loop-erased curve is the reversal of a radial SLE$_2$ curve.
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