3 papers
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.PR2025
Homogenization of non-divergence form operators in i.i.d. random environments
Xiaoqin Guo, Timo Sprekeler, Hung V. Tran
We study random walks in a balanced, i.i.d. random environment in for . We establish improved convergence rates for the homogenization of the Dirichlet probl…
math.NA2025
Policy iteration for nonconvex viscous Hamilton--Jacobi equations
Xiaoqin Guo, Hung Vinh Tran, Yuming Paul Zhang
We study the convergence rates of policy iteration (PI) for nonconvex viscous Hamilton--Jacobi equations using a discrete space-time scheme, where both space and time variables are…