Weiqi Jiang

Near-critical moment corrections in the bond-diluted Ising model on the Bethe lattice

We study the first corrections to the critical cavity-field distribution of a bond-diluted Ising ferromagnet on a Bethe lattice. At fixed bond occupation above the percolation threshold, the mean-normalized cavity field tends to the branching-process martingale profile. Starting from this known leading limit, we derive...