Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum
Date
2019
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Springer
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Abstract
We construct multidimensional almost-periodic Schrödinger operators whose spectrum has zero lower box-counting dimension. In particular, the spectrum in these cases is a generalized Cantor set of zero Lebesgue measure.
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Damanik, David, Fillman, Jake and Gorodetski, Anton. "Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum." Annales Henri Poincaré, 20, no. 4 (2019) Springer: 1393-1402. https://doi.org/10.1007/s00023-019-00768-5.
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This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Springer.