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On the spectrum of critical almost Mathieu operators in the rational case

Spectral Theory 2020-07-03 v1 Mathematical Physics math.MP

Abstract

We derive a new Chambers-type formula and prove sharper upper bounds on the measure of the spectrum of critical almost Mathieu operators with rational frequencies.

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Cite

@article{arxiv.2007.01005,
  title  = {On the spectrum of critical almost Mathieu operators in the rational case},
  author = {Svetlana Jitomirskaya and Lyuben Konstantinov and Igor Krasovsky},
  journal= {arXiv preprint arXiv:2007.01005},
  year   = {2020}
}

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9 pages