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Supercritical sharpness for Ising double random currents
We show that the percolation model induced by the double random current representation of the Ising model on $\mathbb Z^d$, with $d\geq 3$, satisfies local uniqueness of the macroscopic cluster with high probability for every $β>β_c$, uniformly in boundary conditions (i.e. sources). Such a result is
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