发表机构
Weizmann Institute of Science(魏茨曼科学研究所)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文证明了非凸相互作用下向量自旋玻璃富化自由能的收敛性,从而无需额外假设即可确立Chen和Mourrat的临界点极限表示。
AI 中文摘要
我们证明了当格点数量趋于无穷时,向量自旋玻璃的富化自由能收敛。该相互作用不要求是凸的。这正是Chen和Mourrat(Probab. Math. Phys., 2025)在其极限临界点表示中所假设的收敛性,因此该表示在无额外假设的情况下成立。
英文摘要
We prove that the enriched free energy of vector spin glasses converges as the number of sites tends to infinity. The interaction is not assumed to be convex. This is the convergence assumed by Chen and Mourrat (Probab. Math. Phys., 2025) in their representation of the limit as a critical point representation, so that representation holds without further assumptions.
Comments15 Pages; no figures