6 citations · 11 across the 3 of their papers we have counts for
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cond-mat.stat-mech2018★ 6 cited
Schramm's formula for multiple loop-erased random walks
Adrien Poncelet
We revisit the computation of the discrete version of Schramm's formula for the loop-erased random walk derived by Kenyon. The explicit formula in terms of the Green function relie…
cond-mat.stat-mech2017★ 4 cited
Sandpile probabilities on triangular and hexagonal lattices
Adrien Poncelet, Philippe Ruelle
We consider the Abelian sandpile model on triangular and hexagonal lattices. We compute several height probabilities on the full plane and on half-planes, and discuss some properti…
cond-mat.stat-mech2017★ 1 cited
Multipoint correlators in the Abelian sandpile model
Adrien Poncelet, Philippe Ruelle
We revisit the calculation of height correlations in the two-dimensional Abelian sandpile model by taking advantage of a technique developed recently by Kenyon and Wilson. The form…