3 papers
math-ph2026
Classification of (non)-frustrated 2D Ising models in genus 1 on isoradial graphs
Béatrice de Tilière, Lucas Rey
We prove a complete classification of 2D Ising models defined on isoradial graphs, frustrated or not, whose underlying spectral curve has genus 1. As a specific case, we recover Ba…
math.CO2024
The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions
Niklas Christoph Affolter, Béatrice de Tilière, Paul Melotti
We prove an explicit expression for the solutions of the discrete Schwarzian octahedron recurrence, also known as the discrete Schwarzian KP equation (dSKP), as the ratio of two pa…
math.PR2024
Fock's dimer model on the Aztec diamond
Cédric Boutillier, Béatrice de Tilière
We consider the dimer model on the Aztec diamond with Fock's weights, which is gauge equivalent to the model with any choice of positive weight function. We prove an explicit, comp…