Xiaoqin Guo

activity

20102026

most citedQuenched invariance principle for random walks in balanced random environment

48 citations · 69 across the 15 of their papers we have counts for

collaborators

18 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 $Z^{d}$ for $d \geq 3$ . 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…

math.PR2024

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 $r$ , $1 \leq r \leq 3$ . Our…

math.PR2023

Optimal convergence rates in stochastic homogenization in a balanced random environment

Xiaoqin Guo, Hung V. Tran

We consider random walks in a uniformly elliptic, balanced, i.i.d. random environment in the integer lattice $Z^{d}$ for $d \geq 2$ and the corresponding problem of stochastic homogen…

math.PR2022

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 $Z^{d}$ for $d \geq 2$ and the corresponding discrete non-divergence form difference operators. We first obtain an ex…

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 $L^{\infty}$ convergence rate of $O (ε^{2})$ 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…

math.PR2019★ 1 cited

Quantitative homogenization in a balanced random environment

Xiaoqin Guo, Jonathon Peterson, Hung V. Tran

We consider discrete non-divergence form difference operators in a random environment and the corresponding process--the random walk in a balanced random environment in $\mathbb{Z}…

math.PR2018★ 4 cited

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…

math.PR2017

Quenched local central limit theorem for random walks in a time-dependent balanced random environment

Jean-Dominique Deuschel, Xiaoqin Guo

We prove a quenched local central limit theorem for continuous-time random walks in $Z^{d}, d \geq 2$ , in a uniformly-elliptic time-dependent balanced random environment which…

math.PR2017

Berry-Esseen estimates for regenerative processes under weak moment assumptions

Xiaoqin Guo, Jonathon Peterson

We prove Berry-Esseen type rates of convergence for central limit theorems (CLTs) of regenerative processes which generalize previous results of Bolthausen under weaker moment assu…

math.PR2015

Einstein relation and steady states for the random conductance model

Nina Gantert, Xiaoqin Guo, Jan Nagel

We consider random walk among iid, uniformly elliptic conductances on $Z^{d}$ , and prove the Einstein relation (see Theorem 1). It says that the derivative of the velocity of…

math.PR2015

Quenched invariance principle for random walk in time-dependent balanced random environment

Jean-Dominique Deuschel, Xiaoqin Guo, Alejandro F. Ramirez

We prove a quenched central limit theorem for balanced random walks in time dependent ergodic random environments which is not necessarily nearest-neigbhor. We assume that the envi…

math.PR2012★ 10 cited

Einstein relation for random walks in random environment

Xiaoqin Guo

In this article, we consider the speed of the random walks in a (uniformly elliptic and i.i.d.) random environment (RWRE) under perturbation. We obtain the derivative of the speed…

math.PR2012★ 2 cited

Diffusivity and Ballistic Behavior of Random Walk in Random Environment

Xiaoqin Guo

In this thesis, we study the diffusive and ballistic behaviors of random walk in random environment (RWRE) in an integer lattice with dimension at least 2. Our contributions are in…

math.PR2011

On the limiting velocity of random walks in mixing random environment

Xiaoqin Guo

We consider random walks in strong-mixing random Gibbsian environments in $Z^{d}, d \geq 2$ . Based on regeneration arguments, we will first provide an alternative proof of Ras…

math.PR2010★ 48 cited

Quenched invariance principle for random walks in balanced random environment

Xiaoqin Guo, Ofer Zeitouni

We consider random walks in a balanced random environment in $Z^{d}$ , $d \geq 2$ . We first prove an invariance principle (for $d \geq 2$ ) and the transience of the random walks…