Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees

Loren Coquille, Christof Kuelske, Arnaud Le Ny

We consider $\mathbb{Z}$-valued $p$-SOS-models with nearest neighbor interactions of the form $|{\omega }_v-{\omega }_w{|}^p$, and finite-spin ferromagnetic models on regular trees. This includes the…