Rooted Gibbs-DLR Measures in Planar Directed Polymers

Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen

We study rooted Gibbs-DLR measures in the directed polymer model on ${\mathbb{Z}}^2$ with an ergodic disorder distribution which satisfies an additional mild hypothesis. We prove tha…