7 citations · 9 across the 6 of their papers we have counts for
6 papers
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…
Scaling limit of a long-range random walk in time-correlated random environment
Guanglin Rang, Jian Song, Meng Wang
This paper concerns a long-range random walk in random environment in dimension , where the environmental disorder is independent in space but has long-range correlations in t…
From Directed Polymers in Spatial-correlated Environment to Stochastic Heat Equations Driven by Fractional Noise in 1 + 1 Dimensions
Guanglin Rang
We consider the limit behavior of partition function of directed polymers in random environment represented by linear model instead of a family of i.i.d.variables in dimensio…