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math.PR2023
Correlations in uniform spanning trees: a fermionic approach
Alan Rapoport
In the present paper we establish a clear correspondence between probabilities of certain edges belonging to a realization of the uniform spanning tree (UST), and the states of a f…
math.PR2023★ 1 cited
Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree
Leandro Chiarini, Alessandra Cipriani, Alan Rapoport +1
In this paper we rigorously construct a finite volume representation for the height-one field of the Abelian sandpile model and the degree field of the uniform spanning tree in ter…