Shnol’s theorem and the spectrum of long range operators
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Publication:5384814
DOI10.1090/proc/14388OpenAlexW2964090530WikidataQ129187834 ScholiaQ129187834MaRDI QIDQ5384814
Publication date: 26 June 2019
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.04603
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items (15)
Dynamical localization for polynomial long-range hopping random operators on ℤ^{𝕕} ⋮ Must the spectrum of a random Schrödinger operator contain an interval? ⋮ Generalized eigenfunctions and eigenvalues: a unifying framework for Shnol-type theorems ⋮ Lifshitz tails for the fractional Anderson model ⋮ Arithmetic phase transitions for mosaic Maryland model ⋮ Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators ⋮ Anderson localization for Jacobi matrices associated with high-dimensional skew shifts ⋮ Decay of the Green's function of the fractional Anderson model and connection to long-range SAW ⋮ Pure point spectrum for the Maryland model: a constructive proof ⋮ A multi-scale analysis proof of the power-law localization for random operators on \(\mathbb{Z}^d\) ⋮ Singular-unbounded random Jacobi matrices ⋮ Anderson localization for a generalized Maryland model with potentials given by skew shifts ⋮ Anderson localization for long-range operators with singular potentials ⋮ Exponential dynamical localization for random word models ⋮ Anderson localisation for quasi-one-dimensional random operators
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