树上反铁磁Potts模型的弱与强空间混合的近最优界
概率论
2024-12-06 v2 离散数学
数学物理
组合数学
math.MP
摘要
我们证明了树上的反铁磁Potts模型在近乎最优的参数范围内表现出强空间混合。我们的工作补充了Chen、Liu、Mani和Moitra[arXiv.2304.01954]近期的结果,他们证明了这在对应于均匀正常着色的无限温度设定下成立。我们进一步证明了弱空间混合结果,以补充[arXiv.2304.01954]中的结果。
引用
@article{arxiv.2310.04338,
title = {Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees},
author = {Ferenc Bencs and Khallil Berrekkal and Guus Regts},
journal= {arXiv preprint arXiv:2310.04338},
year = {2024}
}
备注
24 pages; We have made several small modifications based on suggestions by two anonymous referees. In particular a small error in the statement of Thm 3 has been corrected. No significant changes