论文标题
平均场矢量自旋玻璃的自由能上限
Free energy upper bound for mean-field vector spin glasses
论文作者
论文摘要
我们考虑了矢量自旋玻璃，其能量功能是高斯随机场，其协方差根据标量产物的基质给出。对于本类中的任何模型，我们为极限自由能提供了上限，预计将是锋利的。结合是根据无限维汉密尔顿 - 雅各比方程表示的。
We consider vector spin glasses whose energy function is a Gaussian random field with covariance given in terms of the matrix of scalar products. For essentially any model in this class, we give an upper bound for the limit free energy, which is expected to be sharp. The bound is expressed in terms of an infinite-dimensional Hamilton-Jacobi equation.
