Anderson-Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle

DOI10.1215/00127094-2021-0038zbMath1489.82044OpenAlexW4210725664MaRDI QIDQ2119893

Lingfu Zhang, Linjun Li

Publication date: 30 March 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00127094-2021-0038

zbMATH Keywords

Anderson modeleigenfunctionsBernoulli potential3D lattice

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random operators and equations (aspects of stochastic analysis) (60H25) 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) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ A discrete harmonic function bounded on a large portion of \({\mathbb{Z}^2}\) is constant ⋮ Uniqueness results for solutions of continuous and discrete PDE ⋮ Localization for random quasi-one-dimensional models ⋮ A “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models ⋮ Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip ⋮ Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice ⋮ Anderson localization in discrete random displacements models

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