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20062025
most citedThe critical Z-invariant Ising model via dimers: locality property

36 citations · 196 across the 19 of their papers we have counts for

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math-ph2015★ 22 cited

Dimers on Rail Yard Graphs

Cédric Boutillier, Jérémie Bouttier, Guillaume Chapuy +2

We introduce a general model of dimer coverings of certain plane bipartite graphs, which we call rail yard graphs (RYG). The transfer matrices used to compute the partition functio…

math.PR2015★ 20 cited

The -invariant massive Laplacian on isoradial graphs

Cédric Boutillier, Béatrice de Tilière, Kilian Raschel

We introduce a one-parameter family of massive Laplacian operators defined on isoradial graphs, involving elliptic functions. We prove an explicit formula…