BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Uniform Spanning Forests and Bi-Laplacian Gaussian Field Lawler, Greg


We construct the bi-Laplacian Gaussian field on $R^4$ as a scaling limit of a field in $Z^4$ constructed using a wired spanning forest. The proof requires improving the known results about four dimensional loop-erased random walk. There are similar (and somewhat easier) results for higher dimensions. This is joint work with Xin Sun and Wei Wu.

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