Conformal invariance of planar loop-erased random walks and uniform spanning trees

Annals of Probability, no. 1B (2004)

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We prove that the scaling limit of loop-erased random walk in a simply connected domain $D$ is equal to the radial SLE(2) path in $D$. In particular, the limit exists and is conformally invariant. It follows that the scaling limit of the uniform spanning tree in a Jordan domain exists and is conformally invariant. Assuming that the bounda...更多

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Wendelin Werner
Wendelin Werner
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