The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models
The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models
复制标题
混合 p 自旋球面模型的 Aizenman-Sims-Starr 方案和 Parisi 公式
DOI：
10.1214/ejp.v18-2580
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发表时间：
2012
影响因子：
1.4
通讯作者：
Wei
中科院分区：
文献类型：
--
作者：
Wei
Michel Talagrand证明了p-自旋混合偶相互作用球模型自由能的Parisi公式，本文研究了p-自旋混合奇相互作用球模型的自由能，建立了Aizenman Sims-Starr方案，并在此基础上结合许多著名的结果和Dmitry Panchenko最近对Parisi超度量猜想的证明，证明了Parisi公式.
The Parisi formula for the free energy in the spherical models with mixed even p-spin interactions was proven in Michel Talagrand. In this paper we study the general mixed p-spin spherical models including p-spin interactions for odd p. We establish the Aizenman Sims-Starr scheme and from this together with many well-known results and Dmitry Panchenko's recent proof on the Parisi ultrametricity conjecture, we prove the Parisi formula.