In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 2020, vol. 56, no. 4, p. 2281–2300
We consider a self-avoiding walk model (SAW) on the faces of the square lattice Z2. This walk can traverse the same face twice, but crosses any edge at most once. The weight of a walk is a product of local weights: each square visited by the walk yields a weight that depends on the way the walk passes through it. The local weights are parametrised by angles θ∈[π3,2π3] and satisfy the...
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