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math-ph2019
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…
math-ph2019
Concavity analysis of the tangent method
Bryan Debin, Etienne Granet, Philippe Ruelle
The tangent method has recently been devised by Colomo and Sportiello (arXiv:1605.01388 [math-ph]) as an efficient way to determine the shape of arctic curves. Largely conjectural,…
math-ph2018
Tangent method for the arctic curve arising from freezing boundaries
Bryan Debin, Philippe Ruelle
In the paper arXiv:1803.11463, the authors study the arctic curve arising in random tilings of some planar domains with an arbitrary distribution of defects on one edge. Using the…