3 papers
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…
math.AP2025
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…
cond-mat.mes-hall2023
Microscopic Theory of the Magnetic Susceptibility of Insulators
Alistair H. Duff, Aidan Lau, J. E. Sipe
We present a general theory of the magnetic susceptibility of insulators that can be extended to treat spatially varying and finite frequency fields. While there are existing resul…