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Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum - MaRDI portal

Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum (Q680706)

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Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum
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    Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum (English)
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    26 January 2018
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    The Schrödinger operator with limit-periodic potential on the real line is considered. The main result of the paper is Theorem 1.3. It is proved that for a dense set of limit-periodic potentials the spectrum of corresponding operator has Hausdorff dimension zero.
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    spectral theory
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    Schrödinger operators
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    limit periodic operators
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    zero measure spectrum
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