Scaling limit of 1+1 dimensional directed polymer with power-law tail and spatial correlated noise

Junjie Cao, Guanglin Rang

We study a $(1+1)$-dimensional directed polymer in a spatially correlated random environment generated by power-law tail variables: $ω(i,x)=\sum_{y\in\mathbb Z}ψ_{y-x}ξ(i,y), ψ…