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UST branches, martingales, and multiple SLE(2)
[article]
2020
arXiv
pre-print
We identify the local scaling limit of multiple boundary-to-boundary branches in a uniform spanning tree (UST) as a local multiple SLE(2), i.e., an SLE(2) process weighted by a suitable partition function. By recent results, this also characterizes the "global" scaling limit of the full collection of full curves. The identification is based on a martingale observable in the UST with N branches, obtained by weighting the well-known martingale in the UST with one branch by the discrete partition
arXiv:2002.07103v2
fatcat:6t7c3i7jsnhvpawstb2a6s5w4i