二维球面SK模型在高温相中重叠量的临界温度附近中心极限定理
概率论
2019-10-23 v1
摘要
我们证明了球面SK模型在高温相中两个副本间归一化重叠量的中心极限定理。该收敛关于无序变量几乎处处成立，且逆温度可以以任意严格大于 的指数多项式速率逼近临界值。
引用
@article{arxiv.1809.03675,
title = {Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model},
author = {Vu Lan Nguyen and Philippe Sosoe},
journal= {arXiv preprint arXiv:1809.03675},
year = {2019}
}
备注
16 pages