Guanglin Rang

collaborators

4 papers

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 $(1 + 1)$ -dimensional directed polymer in a spatially correlated random environment generated by power-law tail variables: $Ï(i,x)=\sum_{y\in\mathbb Z}Ï_{y-x}Î¾(i,y), Ï…

math.PR2026

Normal approximation for the polynomial functionals of correlated random field sampling along random walk path in dimension $1 + 1$

Ao Huang, Guanglin Rang, Zhonggen Su

Let $I^¾$ be the stationary occupation field generated by a Poisson system of independent simple symmetric random walks on $Z$ in space--time dimension $1 + 1$ . For a finite s…

math.PR2026

Local linearization for the nonlinear damped stochastic Klein-Gordon equation

Guanglin Rang, Ran Wang

For the $1 + 1$ 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…

math.PR2024

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 $1 + 1$ , where the environmental disorder is independent in space but has long-range correlations in t…

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

Normal approximation for the polynomial functionals of correlated random field sampling along random walk path in dimension 1+1

Local linearization for the nonlinear damped stochastic Klein-Gordon equation

Scaling limit of a long-range random walk in time-correlated random environment

Normal approximation for the polynomial functionals of correlated random field sampling along random walk path in dimension $1 + 1$