Exactly two extreme semi-infinite polymer measures at Busemann discontinuity directions
Let x∈Z2x\in\mathbb{Z}^2x∈Z2 be a root and let Vω\mathcal V^{\omega}Vω denote the set of jump directions of the Busemann process. For ξ∈Vω\xi\in\mathcal V^{\omega}ξ∈Vω, consider the ξ\xiξ-direct…