Thursday, July 26, 2012

1207.5881 (David Damanik et al.)

Limit-Periodic Schrodinger Operators on Z^d: Uniform Localization    [PDF]

David Damanik, Zheng Gan
We exhibit d-dimensional limit-periodic Schrodinger operators that are uniformly localized in the strongest sense possible. That is, for each of these operators, there is a uniform exponential decay rate such that every element of the hull of the corresponding Schrodinger operator has a complete set of eigenvectors that decay exponentially off their centers of localization at least as fast as prescribed by the uniform decay rate. Consequently, these operators exhibit uniform dynamical localization.
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