32 citations · 81 across the 16 of their papers we have counts for
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Conformal invariance of double random currents I: identification of the limit
Hugo Duminil-Copin, Marcin Lis, Wei Qian
This is the first of two papers devoted to the proof of conformal invariance of the critical double random current model on the square lattice. More precisely, we show the converge…
Conformal invariance of double random currents II: tightness and properties in the discrete
Hugo Duminil-Copin, Marcin Lis, Wei Qian
This is the second of two papers devoted to the proof of conformal invariance of the critical double random current on the square lattice. More precisely, we show convergence of lo…
Free boundary dimers: random walk representation and scaling limit
Nathanael Berestycki, Marcin Lis, Wei Qian
We study the dimer model on subgraphs of the square lattice in which vertices on a prescribed part of the boundary (the free boundary) are possibly unmatched. Each such unmatched v…