Scaling Limits of Disorder Relevant Non-Binary Spin Systems
Probability
2025-07-31 v2
Abstract
In [7], Caravenna, Sun and Zygouras gave general criteria for the partition functions of binary valued spin systems with a relevant random field perturbation to have non-trivial continuum and weak disorder limits. In this work, we show how these criteria can be extended to non-binary valued spin systems.
Cite
@article{arxiv.2410.00579,
title = {Scaling Limits of Disorder Relevant Non-Binary Spin Systems},
author = {Liuyan Li and Vlad Margarint and Rongfeng Sun},
journal= {arXiv preprint arXiv:2410.00579},
year = {2025}
}
Comments
To appear in Stochastics and Partial Differential Equations: Analysis and Computations, special issue in memory of Giuseppe Da Prato