论文标题
Griffiths $ O（n）$ - 旋转模型的不平等现象
Griffiths inequalities for the $O(N)$-spin model
论文作者
论文摘要
我们证明了Griffiths的不平等现象的$ O（N）$ - 旋转模型，具有不均匀耦合常数和任何$ N \ geq 2 $的外部磁场。这是通过使用$ o（n）$ - 旋转的随机路径来实现的，而随机路径将$ n = 1 $的ISING模型的随机电流表示和类似于随机电流的开关引理类似的身份。
We prove Griffiths inequalities for the $O(N)$-spin model with inhomogeneous coupling constants and external magnetic field for any $N\geq 2$. This is achieved by using a representation of $O(N)$-spins in terms of random paths that reduces to the random current representation of the Ising model for $N=1$ and an identity that is analogous to the switching lemma for random currents.
