Free Energy in the Generalized Sherrington-Kirkpatrick Mean Field Model
Free Energy in the Generalized Sherrington-Kirkpatrick Mean Field Model
复制标题
广义谢林顿-柯克帕特里克平均场模型中的自由能
DOI：
10.1142/s0129055x05002455
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发表时间：
2004
影响因子：
1.8
通讯作者：
D. Panchenko
中科院分区：
文献类型：
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作者：
D. Panchenko
1996年，Talagrand在经典的Sherrington-Kirkpatrick （SK）模型中给出了Parisi公式的严格证明。在本文中，我们建立在[11]中开发的方法的基础上，并将Talagrand的结果推广到SK型模型的类别，其中自旋在实线的有界子集上具有任意先验分布。
In [11], Talagrand gave a rigorous proof of the Parisi formula in the classical Sherrington–Kirkpatrick (SK) model. In this paper, we build upon the methodology developed in [11] and extend Talagrand's result to the class of SK type models in which the spins have arbitrary prior distribution on a bounded subset of the real line.