Harness Processes and Non-Homogeneous Crystals

Pablo A. Ferrari, Beat M. Niederhauser, Eugene A. Pechersky

We consider the Harmonic crystal, a measure on ${\mathbb{R}}^{{\mathbb{Z}}^d}$ with Hamiltonian $H(\x)=\sum_{i,j}J_{i,j}(\x(i)-\x(j))^{2}+ h\sum_{i}(\x(i)-\dd(i))^{2}$, where $\x, \d…