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math.PR2008
The critical Z-invariant Ising model via dimers: the periodic case
Cédric Boutillier, Béatrice de Tilière
We study a large class of critical two-dimensional Ising models namely critical Z-invariant Ising models on periodic graphs, example of which are the classical square, triangular a…
math.PR2006★ 13 cited
Loop statistics in the toroidal honeycomb dimer model
Cédric Boutillier, Béatrice de Tilière
The dimer model on a graph embedded in the torus can be interpreted as a collection of random self-avoiding loops. In this paper, we consider the uniform toroidal honeycomb dimer m…