A correlation bound for the one-dimensional heterogeneous Ising model
Probability
2026-02-10 v3
Abstract
We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay of correlations due to weakness of nearest-neighbor coupling constants and the effect of external fields. The proof constitutes an application of random currents to a non-ferromagnetic Ising model.
Cite
@article{arxiv.2505.06209,
title = {A correlation bound for the one-dimensional heterogeneous Ising model},
author = {Edward Athaide and Maciej Głuchowski and Jonas Köppl and Georg Menz},
journal= {arXiv preprint arXiv:2505.06209},
year = {2026}
}
Comments
12 pages