A continuum version of the Kunz–Souillard approach to localization in one dimension

DOI10.1515/CRELLE.2011.070zbMath1245.34084arXiv0912.3568OpenAlexW2963323266MaRDI QIDQ3103806

Günter Stolz, David Damanik

Publication date: 12 December 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3568

zbMATH Keywords

random Schrödinger operatorpoint spectrumdynamical localization

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Random linear operators (47B80)

Related Items (5)

An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators ⋮ Dynamical localization for the one-dimensional continuum Anderson model in a decaying random potential ⋮ A note on fractional moments for the one-dimensional continuum Anderson model ⋮ Random Schrödinger operators with a background potential ⋮ The Kunz-Souillard approach to localization for Jacobi operators

Cites Work

• Some Jacobi matrices with decaying potential and dense point spectrum
• Moment analysis for localization in random Schrödinger operators
• One-dimensional Schrödinger operators with random decaying potentials
• Sur le spectre des opérateurs aux différences finies aléatoires
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
• Localization for one-dimensional, continuum, Bernoulli-Anderson models.
• Delocalization in random polymer models
• A note on fractional moments for the one-dimensional continuum Anderson model
• One-dimensional wave equations in disordered media

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