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Localization in one-dimensional chains with Lévy-type disorder
We study Anderson localization of the classical lattice waves in a chain with mass impurities distributed randomly through a power-law relation ${s}^{\ensuremath{-}(1+\ensuremath{\alpha})}$ with $s$ as the distance between two successive impurities and $\ensuremath{\alpha}>0$. This model of disorder is long-range correlated and is inspired by the peculiar structure of the complex …