没有平均的Ghirlanda-Guerra恒等式
The Ghirlanda-Guerra identities without averaging
摘要：
吉兰达-格拉恒等式是自旋玻璃最神秘的特征之一。我们证明了一个大类的模型，包括爱德华兹-安德森模型，随机场伊辛模型，和Sherrington-Kirkpatrick模型中的存在下的随机外场的GG恒等式。在此之前，GG恒等式仅在一定温度范围内或在小扰动下被严格证明为“平均”。
英文摘要：
The Ghirlanda-Guerra identities are one of the most mysterious features of spin glasses. We prove the GG identities in a large class of models that includes the Edwards-Anderson model, the random field Ising model, and the Sherrington-Kirkpatrick model in the presence of a random external field. Previously, the GG identities were rigorously proved only `on average' over a range of temperatures or under small perturbations.
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