90 citations · 314 across the 33 of their papers we have counts for
10 papers · 1 filter
The dimer and Ising models on Klein bottles
David Cimasoni
We study the dimer and Ising models on a finite planar weighted graph with periodic-antiperiodic boundary conditions, i.e. a graph in the Klein bottle . Let denote…
Identities between dimer partition functions on different surfaces
David Cimasoni, Anh Minh Pham
Given a weighted graph embedded in a non-orientable surface , one can consider the corresponding weighted graph embedded in the so-called orientation cover $…
The geometry of dimer models
David Cimasoni
This is an expanded version of a three-hour minicourse given at the winterschool Winterbraids IV held in Dijon in February 2014. The aim of these lectures was to present some aspec…
Kac-Ward operators, Kasteleyn operators, and s-holomorphicity on arbitrary surface graphs
David Cimasoni
The conformal invariance and universality results of Chelkak-Smirnov on the two-dimensional Ising model hold for isoradial planar graphs with critical weights. Motivated by the pro…
The critical temperature for the Ising model on planar doubly periodic graphs
David Cimasoni, Hugo Duminil-Copin
We provide a simple characterization of the critical temperature for the Ising model on an arbitrary planar doubly periodic weighted graph. More precisely, the critical inverse tem…
A generalized Kac-Ward formula
David Cimasoni
The Kac-Ward formula allows to compute the Ising partition function on a planar graph G with straight edges from the determinant of a matrix of size 2N, where N denotes the number…