3 papers
math.AP2025
Quantitative estimates for high-contrast random media
Peter Bella, Matteo Capoferri, Mikhail Cherdantsev +1
This paper studies quantitative homogenization of elliptic equations with random, uniformly elliptic coefficients that vanish in a union of random holes. Assuming an upper bound on…
math.AP2025
High-contrast random systems of PDEs: homogenisation and spectral theory
Matteo Capoferri, Mikhail Cherdantsev, Igor VelÄiÄ
We develop a qualitative homogenisation and spectral theory for elliptic systems of partial differential equations in divergence form with highly contrasting (i.e., non uniformly e…
math.AP2024
High-contrast random composites: homogenisation framework and new spectral phenomena
Mikhail Cherdantsev, Kirill Cherednichenko, Igor VelÄiÄ
We develop a framework for multiscale analysis of elliptic operators with high-contrast random coefficients. For a general class of such operators, we provide a detailed spectral a…