11 citations · 25 across the 6 of their papers we have counts for
7 papers
Fluctuations and arctic curve in the Aztec diamond
Bryan Debin, Jean-François de Kemmeter, Philippe Ruelle
Domino tilings of Aztec diamonds are known to exhibit an arctic phenomenon, namely a separation between frozen regions (in which all the dominoes have the same orientation) and a c…
Arctic curves of the V model with partial DWBC and double Aztec rectangles
Jean-François de Kemmeter, Bryan Debin, Philippe Ruelle
Previous numerical studies have shown that in the disordered and anti-ferroelectric phases the six-vertex (V) model with partial domain wall boundary conditions (DWBC) exhibits…
Factorization in the multirefined tangent method
Bryan Debin, Philippe Ruelle
When applied to statistical systems showing an arctic curve phenomenon, the tangent method assumes that a modification of the most external path does not affect the arctic curve. W…
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…