2 papers
math.AP2026
Stochastic homogenization of coarse-grained elliptic equations
Aidan Lau
We prove quenched stochastic homogenization for divergence-form elliptic equations, under the assumption that the coefficients are stationary, ergodic, integrable, and satisfy a co…
math.AP2026
Coarse-graining and quantitative stochastic homogenization of parabolic equations in high contrast
Aidan Lau
We prove quantitative homogenization results for high contrast parabolic equations with random coefficients depending on both space and time. In particular, we prove that under a s…