THOULESS-ANDERSON-PALMER EQUATIONS FOR GENERIC p-SPIN GLASSES
THOULESS-ANDERSON-PALMER EQUATIONS FOR GENERIC p-SPIN GLASSES
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DOI：
10.1214/18-aop1307
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发表时间：
2019-07-01
影响因子：
2.3
通讯作者：
Jagannath, Aukosh
中科院分区：
文献类型：
--
作者：
Auffinger, Antonio;Jagannath, Aukosh
研究了超立方体上自旋玻璃的Thouless-Anderson-Palmer（TAP）方程。首先，使用超立方体的随机近似超度量分解，我们将吉布斯测度（N）分解为条件律（alpha，N）的混合。我们表明，TAP方程的自旋在任何网站上（α，N）同时为所有α。这一结果适用于一般模型，提供了模型的Parisi措施有一个跳跃的顶部的支持。
We study the Thouless-Anderson-Palmer (TAP) equations for spin glasses on the hypercube. First, using a random, approximately ultrametric decomposition of the hypercube, we decompose the Gibbs measure, (N), into a mixture of conditional laws, (alpha,N). We show that the TAP equations hold for the spin at any site with respect to (alpha,N) simultaneously for all alpha. This result holds for generic models provided that the Parisi measure of the model has a jump at the top of its support.