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Abstract: We exhibit limit-periodic Schr\-odinger operators that are uniformlylocalized in the strongest sense possible. That is, for these operators thereare uniform exponential decay rates such that every element of the hull has acomplete set of eigenvectors that decay exponentially off their centers oflocalization at least as fast as prescribed by the uniform decay rate.Consequently, these operators exhibit uniform dynamical localization.



Author: David Damanik, Zheng Gan

Source: https://arxiv.org/







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