论文标题
在两个尺度上，P-SPIN SK模型中的自由能的波动
Fluctuations of the free energy in p-spin SK models on two scales
论文作者
论文摘要
20年前，Bovier，Kurkova和Löwe[5]证明了在高温下Sherrington-Kirkpatrick的P-Spin版本中自由能的波动的中心极限定理（CLT）。在本文中，我们通过两种方式提高了他们的结果。首先，我们延长温度范围，以覆盖已知淬灭和退火的自由能重合的整个制度。其次，我们将波动的主要来源确定为纯粹的耦合项，并且在此随机物体周围的自由能偏离偏差。
20 years ago, Bovier, Kurkova, and Löwe [5] proved a central limit theorem (CLT) for the fluctuations of the free energy in the p-spin version of the Sherrington-Kirkpatrick model of spin glasses at high temperatures. In this paper we improve their results in two ways. First, we extend the range of temperatures to cover the entire regime where the quenched and annealed free energies are known to coincide. Second, we identify the main source of the fluctuations as a purely coupling dependent term, and we show a further CLT for the deviation of the free energy around this random object.
