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math.PR2014★ 6 cited
Lozenge tilings with free boundaries
Greta Panova
We study lozenge tilings of a domain with partially free boundary. In particular, we consider a trapezoidal domain (half hexagon), s.t. the horizontal lozenges on the long side can…
math.PR2014★ 3 cited
Pfaffian formulas for spanning tree probabilities
Greta Panova, David B. Wilson
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 inv…