Arithmetic version of Anderson localization via reducibility
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Publication:2216466
DOI10.1007/s00039-020-00549-xzbMath1454.82017arXiv2003.13946OpenAlexW3090501771MaRDI QIDQ2216466
Publication date: 16 December 2020
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.13946
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (11)
Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications ⋮ Hölder regularity of the integrated density of states for quasi-periodic long-range operators on \(\ell^2(\mathbb{Z}^d)\) ⋮ Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators ⋮ Localization and regularity of the integrated density of states for Schrödinger operators on \(\mathbb{Z}^d\) with \(C^2\)-cosine like quasi-periodic potential ⋮ Stability of the non-critical spectral properties i: arithmetic absolute continuity of the integrated density of states ⋮ Exact mobility edges for 1D quasiperiodic models ⋮ Exponential Dynamical Localization: Criterion and Applications ⋮ One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators ⋮ The arithmetic version of the frequency transition conjecture: new proof and generalization ⋮ Upper bounds on transport exponents for long-range operators
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