Pfaffian formulas for spanning tree probabilities
classification
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math.CO
keywords
probabilitiesspanningtreeannuluscertaincoefficientscombinationscomputed
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We show that certain topologically defined uniform spanning tree probabilities for graphs embedded in an annulus can be computed as linear combinations of Pfaffians of matrices involving the line-bundle Green's function, where the coefficients count cover-inclusive Dyck tilings of skew Young diagrams.
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