Stochastic integrability of heat-kernel bounds for random walks in a balanced random environment
In Z d, d≥ 2, we consider random walks in a balanced random environment with a finite
range of dependence. We first obtain both positive and negative exponential moment …
range of dependence. We first obtain both positive and negative exponential moment …
Optimal convergence rates in stochastic homogenization in a balanced random environment
We consider random walks in a uniformly elliptic, balanced, iid random environment in the
integer lattice $ Z^ d $ for $ d\geq 2$ and the corresponding problem of stochastic …
integer lattice $ Z^ d $ for $ d\geq 2$ and the corresponding problem of stochastic …
An elliptic Harnack inequality for difference equations with random balanced coefficients
N Berger, M Cohen, JD Deuschel… - The Annals of …, 2022 - projecteuclid.org
We prove an elliptic Harnack inequality at large scale on the lattice Z d for nonnegative
solutions of a difference equation with balanced iid coefficients which are not necessarily …
solutions of a difference equation with balanced iid coefficients which are not necessarily …
Green function and invariant measure estimates for nondivergence form elliptic homogenization
We prove quantitative estimates on the the parabolic Green function and the stationary
invariant measure in the context of stochasic homogenization of elliptic equations in …
invariant measure in the context of stochasic homogenization of elliptic equations in …
On the periodic homogenization of elliptic equations in nondivergence form with large drifts
W **g, Y Zhang - Multiscale Modeling & Simulation, 2023 - SIAM
We study the quantitative homogenization of linear second order elliptic equations in
nondivergence form with highly oscillating periodic diffusion coefficients and with large drifts …
nondivergence form with highly oscillating periodic diffusion coefficients and with large drifts …