Pfaffian formulas for spanning tree probabilities
Probability
2016-06-08 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1407.3748,
title = {Pfaffian formulas for spanning tree probabilities},
author = {Greta Panova and David B. Wilson},
journal= {arXiv preprint arXiv:1407.3748},
year = {2016}
}
Comments
18 pages