66 citations · 130 across the 8 of their papers we have counts for
8 papers
Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models
Philippe Di Francesco
We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Six Vertex model with reflecting (U-turn) boundary and of the related Twenty Vertex model w…
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…
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…
A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points
Philippe Di Francesco, Emmanuel Guitter
We use a tangent method approach to obtain the arctic curve in a model of non-intersecting lattice paths within the first quadrant, including a q-dependent weight associated with t…
Arctic curves for paths with arbitrary starting points: a tangent method approach
Philippe Di Francesco, Emmanuel Guitter
We use the tangent method to investigate the arctic curve in a model of non-intersecting lattice paths with arbitrary fixed starting points aligned along some boundary and whose di…
Asymptotic shapes with free boundaries
P Di Francesco, N. Reshetikhin
We study limit shapes for dimer models on domains of the hexagonal lattice with free boundary conditions. This is equivalent to the large deviation phenomenon for a random stepped…