2 citations · 2 across the 6 of their papers we have counts for
8 papers
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…
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…
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…
On the rate of convergence of the martingale central limit theorem in Wasserstein distances
Xiaoqin Guo
For martingales with a wide range of integrability, we will quantify the rate of convergence of the central limit theorem via Wasserstein distances of order , . Our…
Stochastic integrability of heat-kernel bounds for random walks in a balanced random environment
Xiaoqin Guo, Hung V. Tran
We consider random walks in a balanced i.i.d. random environment in for and the corresponding discrete non-divergence form difference operators. We first obtain an ex…
An elliptic Harnack inequality for random walk in balanced environments
Noam Berger, Moran Cohen, Jean-Dominique Deuschel +1
We prove a Harnack inequality for the solutions of a difference equation with non-elliptic balanced i.i.d. coefficients. Along the way we prove a (weak) quantitative homogenisation…