Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators
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Publication:2124241
DOI10.4171/JEMS/1139zbMath1497.47010arXiv1510.07086OpenAlexW3198778900MaRDI QIDQ2124241
Shiwen Zhang, Svetlana Ya. Jitomirskaya
Publication date: 19 April 2022
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.07086
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (10)
On the spectrum of critical almost Mathieu operators in the rational case ⋮ Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator ⋮ Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators ⋮ Dynamics and spectral theory of quasi-periodic Schrödinger-type operators ⋮ Almost Mathieu operators with completely resonant phases ⋮ Quantitative inductive estimates for Green's functions of non-self-adjoint matrices ⋮ Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices ⋮ Spectral dimension for \(\beta\)-almost periodic singular Jacobi operators and the extended Harper's model ⋮ PACKING SUBORDINACY WITH APPLICATION TO SPECTRAL CONTINUITY
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