Reconstruction for the Asymmetric Ising Model on Regular Trees

2017/12/01 by Liu, Wenjian, Ning, Ning
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1712.00395

Abstract

It is known that the Kesten-Stigum reconstruction bound is tight for roughly symmetric binary channels. In this paper, we will adopt a refined analysis of moment recursion on a weighted version of the magnetization, which is engaged in Sly [2011] to handle the symmetric Potts model, and establish the critical condition of the asymmetric Ising model to make Kesten-Stigum bound the reconstruction threshold on regular d-ary trees.

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