30 citations · 68 across the 10 of their papers we have counts for
12 papers
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…
Isoradial immersions
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
Isoradial embeddings of planar graphs play a crucial role in the study of several models of statistical mechanics, such as the Ising and dimer models. Kenyon and Schlenker give a c…
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…
Principal minors Pfaffian half-tree theorem
Béatrice de Tilière
A half-tree is an edge configuration whose superimposition with a perfect matching is a tree. In this paper, we prove a half-tree theorem for the Pfaffian principal minors of a ske…