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We construct a natural discrete random field on $\mathbb{Z}^{d}$, $d\geq 5$ that converges weakly to the bi-Laplacian Gaussian field in the scaling limit.
Choosing a spanning tree for the integer lattice uniformly
Robin Pemantle · 1991
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Hui-Hsiung Kuo · 1996
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Itai Benjamini, Russell Lyons, Yuval Peres, and Oded Schramm · 2001
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Gregory F Lawler and Vlada Limic · 2010
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General beta jacobi corners process and the Gaussian free field
Alexei Borodin and Vadim Gorin · 2013
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privite communication
Gregory Lawler · 2013
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Transfer current and Gaussian fields in trees and sandpiles
Adrien Kassel and Wei Wu
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Asad Lodia, Scott Sheffield, Xin Sun, and Samuel Watson
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