163 citations · 1.4k across the 76 of their papers we have counts for
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Arctic curves of the twenty-vertex model with domain wall boundaries
Bryan Debin, Philippe Di Francesco, Emmanuel Guitter
We use the tangent method to compute the arctic curve of the Twenty-Vertex (20V) model with particular domain wall boundary conditions for a wide set of integrable weights. To this…
Twenty-Vertex model with domain wall boundaries and domino tilings
Philippe Di Francesco, Emmanuel Guitter
We consider the triangular lattice ice model (20-Vertex model) with four types of domain-wall type boundary conditions. In types 1 and 2, the configurations are shown to be equinum…
The Arctic curve for Aztec rectangles with defects via the Tangent Method
Philippe Di Francesco, Emmanuel Guitter
The Tangent Method of Colomo and Sportiello is applied to the study of the asymptotics of domino tilings of large Aztec rectangles, with some fixed distribution of defects along a…