The loop O(n) model is a model for a random collection of non-intersecting loops on the hexagonal lattice, which is believed to be in the same universality class as the spin O(n) model. It has beenâ€¦ (More)

It has been shown by van den Berg and Steif [3] that the sub-critical Ising model on Z is a finitary factor of a finite-valued i.i.d. process. We strengthen this by showing that the factor map can beâ€¦ (More)

We consider a model of a random height function with long-range constraints on a discrete segment. This model was suggested by Benjamini, Yadin and Yehudayoff and is a generalization of simple randomâ€¦ (More)

In [Tal94], Talagrand showed a generalization of the celebrated KKL theorem. In this work, we prove that the converse of this generalization also holds. Namely, for any sequence of numbers 0 < a1,â€¦ (More)

We consider a model of a random height function with long-range constraints on a discrete segment. This model was suggested by Benjamini, Yadin and Yehudayoff and is a generalization of simple randomâ€¦ (More)