30 citations · 68 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
The -Dirac and massive Laplacian operators in the -invariant Ising model
Béatrice de Tilière
Consider an elliptic parameter ; we introduce a family of -Dirac operators , relate them to the -massive Laplacian of [BdTR17b]…
Bipartite dimer representation of squared 2d-Ising correlations
Béatrice de Tilière
The Bozonisation identities of [Dub11] show that squared 2d-Ising order and disorder correlations are equal to +- the ratio of bipartite dimer partition functions. In this self-con…
Critical Ising model and spanning trees partition functions
B. de Tilière
We prove that the squared partition function of the two-dimensional critical Ising model defined on a finite, isoradial graph , is equal to times the partition f…