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math.AP2021
High-contrast random composites: homogenisation framework and new spectral phenomena
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
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…
math.SP2021★ 3 cited
Eigenfunctions localised on a defect in high-contrast random media
Matteo Capoferri, Mikhail Cherdantsev, Igor Velčić
We study the properties of eigenvalues and corresponding eigenfunctions generated by a defect in the gaps of the spectrum of a high-contrast random operator. We consider a family o…