Multidimensional Almost-Periodic Schr\"odinger Operators with Cantor Spectrum
Spectral Theory
2019-05-01 v1 Mathematical Physics
math.MP
Abstract
We construct multidimensional almost-periodic Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1809.02720,
title = {Multidimensional Almost-Periodic Schr\"odinger Operators with Cantor Spectrum},
author = {David Damanik and Jake Fillman and Anton Gorodetski},
journal= {arXiv preprint arXiv:1809.02720},
year = {2019}
}
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8 pages