159 citations · 1k across the 45 of their papers we have counts for
46 papers
On -determinants and tiling problems
Jean-François de Kemmeter, Nicolas Robert, Philippe Ruelle
We review the connections between the octahedral recurrence, -determinants and tiling problems. This provides in particular a direct combinatorial interpretation of the -dete…
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…
Double tangent method for two-periodic Aztec diamonds
Philippe Ruelle
We use the octahedron recurrence, which generalizes the quadratic recurrence found by Kuo for standard Aztec diamonds, in order to compute boundary one-refined and two-refined part…
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…
Sandpile models in the large
Philippe Ruelle
This contribution is a review of the deep and powerful connection between the large scale properties of critical systems and their description in terms of a field theory. Although…