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arXiv · 1407.3748

Pfaffian formulas for spanning tree probabilities

Greta Panova·David B. Wilson
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Abstract

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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Greta Panova, David B. Wilson. 2014-07-14. Pfaffian formulas for spanning tree probabilities. https://doi.org/10.1017/s0963548316000183

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