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math.PR2026
Weighted isoperimetry implies percolation
Ivailo Hartarsky, Franco Severo, Augusto Teixeira
Consider an infinite edge-weighted graph satisfying an isoperimetric inequality of the type for some , where denotes the weighte…
math.PR2026
Supercritical sharpness for the random cluster representation of real-valued spin models
Trishen S. Gunaratnam, Dmitry Krachun, Christoforos Panagiotis +2
We study the supercritical regime of a large family of real-valued spin models on , including the Blume-Capel and models. We consider their random clust…