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math.PR2026
The critical Ising magnetization field can be reconstructed from its interfaces
Paul Cahen, Christophe Garban, Avelio Sepúlveda
The critical Ising model admits several natural scaling limits. For an Ising model on a lattice approximation of a planar domain , the rescaled spin field converges, as $a…
math.PR2026
Stochastic dominations for FK percolation and sharp thinning thresholds for the Ising energy field
Paul Cahen, Avelio Sepúlveda
At first glance, one would imagine that the energy field of the Ising model, the set of edges whose endpoints share the same spin, is stochastically monotone as a function of the c…