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math.PR2018
Shifted critical threshold in the loop model at arbitrary small
Lorenzo Taggi
In the loop model a collection of mutually-disjoint self-avoiding loops is drawn at random on a finite domain of a lattice with probability proportional to $${λ^{\# \mbox{ed…
math.PR2018
Interacting self-avoiding polygons
Volker Betz, Helge Schäfer, Lorenzo Taggi
We consider a system of self-avoiding polygons interacting through a potential that penalizes or rewards the number of mutual touchings and we provide an exact computation of the c…