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math.AP2026
Quantification of ergodicity for Hamilton--Jacobi equations in a dynamic random environment
Xiaoqin Guo, Wenjia Jing, Hung Vinh Tran +1
We study quantitative large-time averages for Hamilton--Jacobi equations in a dynamic random environment that is stationary ergodic and has unit-range dependence in time. Our motiv…
math.AP2022★ 4 cited
Characterizations of diffusion matrices in homogenization of elliptic equations in nondivergence-form
Xiaoqin Guo, Timo Sprekeler, Hung V. Tran
We characterize diffusion matrices that yield a convergence rate of in the theory of periodic homogenization of linear elliptic equations…
math.AP2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form
Xiaoqin Guo, Hung V. Tran, Yifeng Yu
We study and characterize the optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. We obtain that the optimal rate of conver…