Reconstruction for the Asymmetric Ising Model on Regular Trees
Probability
2017-12-04 v1
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 -ary trees.
Cite
@article{arxiv.1712.00395,
title = {Reconstruction for the Asymmetric Ising Model on Regular Trees},
author = {Wenjian Liu and Ning Ning},
journal= {arXiv preprint arXiv:1712.00395},
year = {2017}
}
Comments
Conference paper: 3rd International Conference on Electrical, Electronics, Engineering Trends, Communication, Optimization and Sciences (EEECOS)-2016