2 papers
math.PR2026
Disorder Thresholds and Free Energy of Brownian Directed Polymers with Product and Radial Spatial Correlations
Junjie Cao, Guanglin Rang, Jianglun Wu
We study a Brownian directed polymer in a centered Gaussian environment that is white in time and colored in space having long-range spatial correlations. For product-type covarian…
math.PR2026
Scaling limit of 1+1 dimensional directed polymer with power-law tail and spatial correlated noise
Junjie Cao, Guanglin Rang
We study a -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_y\s…