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math-ph2017
Stochastic homogenisation of high-contrast media
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
Using a suitable stochastic version of the compactness argument of [V. V. Zhikov, 2000. On an extension of the method of two-scale convergence and its applications. Sb. Math., 191(…
math.SP2017★ 3 cited
Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect
Mikhail Cherdantsev, Kirill Cherednichenko, Shane Cooper
Following a number of recent studies of resolvent and spectral convergence of non-uniformly elliptic families of differential operators describing the behaviour of periodic composi…