7 citations · 9 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Normal approximation for the polynomial functionals of correlated random field sampling along random walk path in dimension
Ao Huang, Guanglin Rang, Zhonggen Su
Let be the stationary occupation field generated by a Poisson system of independent simple symmetric random walks on in space--time dimension . For a finite se…
Local linearization for the nonlinear damped stochastic Klein-Gordon equation
Guanglin Rang, Ran Wang
For the dimensional nonlinear damped stochastic Klein-Gordon equation driven by space-time white noise, we prove that the second-order increments of the solution can be appro…