论文标题
高温下混合$ p $ spin型号的频谱差距估计
Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature
论文作者
论文摘要
我们考虑一般的混合$ p $ -spin平均场自旋玻璃模型，并提供了一种证明与吉布斯度量相关的dirichlet形式的光谱间隙在足够高的温度下的阶数为一。我们的证明是基于迭代方案，该计划将$ n $ spin系统与适当条件的子系统的光谱差距有关。
We consider general mixed $p$-spin mean field spin glass models and provide a method to prove that the spectral gap of the Dirichlet form associated with the Gibbs measure is of order one at sufficiently high temperature. Our proof is based on an iteration scheme relating the spectral gap of the $N$-spin system to that of suitably conditioned subsystems.
