4 papers · 1 filter
Branching random walk in random environment
Xinxin Chen, Chenlin Gu, Zhiqi Zhao
We consider a branching random walk on \(\Z^d\) in a random environment given by Bernoulli site percolation with parameter \(p\in (0,1)\). In this model, each particle located at a…
Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases
Chenlin Gu, Linzhi Yang, Linjie Zhao
For the reversible speed-change exclusion process in , we study the scaling limit of additive functionals ${Γ_t(f) = \int_0^t f(η_s)\, \mathrm{d} s…
Quantitative stochastic homogenization for long-range random walks with critical jump index
Xin Chen, Chenlin Gu, Jian Wang
In this paper, we study the stochastic homogenization for a class of symmetric random walks in random conductance model, whose one-step transition probability from to is pr…
Quantitative homogenization and hydrodynamic limit of non-gradient exclusion process
Tadahisa Funaki, Chenlin Gu, Han Wang
For the non-gradient exclusion process, we prove the quantitative homogenization of the diffusion matrix and the conductivity by local functions. The proof relies on the renormaliz…