4 papers
Stroboscopic exclusion process: a first-moment-driven dynamics
Bryan Debin, Etienne Granet
We define a new variant of exclusion processes in discrete time that has jump probabilities that depend on the last jump performed. In a particular limit for the jump probabilities…
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…
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,…
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…