most citedOn the spectra of separable 2D almost Mathieu operators

2 citations · 4 across the 2 of their papers we have counts for

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2 papers

math.SP2021★ 2 cited

Spectral estimates of dynamically-defined and amenable operator families

Siegfried Beckus, Alberto Takase

We consider kernel operators defined by a dynamical system. The Hausdorff distance of spectra is estimated by the Hausdorff distance of subsystems. We prove that the spectrum map i…

math.SP2020★ 2 cited

On the spectra of separable 2D almost Mathieu operators

Alberto Takase

We consider separable 2D discrete Schrödinger operators generated by 1D almost Mathieu operators. For fixed Diophantine frequencies we prove that for sufficiently small couplings t…