混合p自旋模型的Ghirlanda-Guerra恒等式
The Ghirlanda-Guerra identities for mixed p-spin model
摘要：
我们表明，在已知的条件下，暗示的有效性的Parisi公式，如果通用的Sherrington-Kirkpatrick哈密顿量包含一个$p$ -自旋项，然后Ghirlanda-Guerra身份的$p$次幂的重叠举行在一个强烈的意义上没有平均。这意味着对于混合的$p$ -自旋模型，扩展的Ghirlanda-Guerra恒等式比包含所有偶数$p\geq 2$和$p=1.$的项强
英文摘要：
We show that, under the conditions known to imply the validity of the Parisi formula, if the generic Sherrington-Kirkpatrick Hamiltonian contains a $p$-spin term then the Ghirlanda-Guerra identities for the $p$th power of the overlap hold in a strong sense without averaging. This implies strong version of the extended Ghirlanda-Guerra identities for mixed $p$-spin models than contain terms for all even $p\geq 2$ and $p=1.$
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