4.6 Article

Holder continuity of absolutely continuous spectral measure for multi-frequency Schrodinger operators

Journal

JOURNAL OF FUNCTIONAL ANALYSIS
Volume 278, Issue 12, Pages -

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2020.108508

Keywords

Sharp Holder continuity; Distribution of individual spectral measure; Multi-frequency quasi-periodic; Schrodinger operator; Quantitative almost reducibility

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Funding

  1. China Scholarship Council (CSC) [201906190072]
  2. NSFC [11771205, 11571327]

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We establish sharp results on the modulus of continuity of the distribution of the spectral measure for multi-frequency Schrodinger operators with Diphantine frequencies and small analytic potentials. (C) 2020 Elsevier Inc. All rights reserved.

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