Non-stationary Anderson Localization
Spectral Theory
2024-03-26 v1 Dynamical Systems
Probability
Abstract
We consider discrete Schr\"odinger operators on with bounded random but not necessarily identically distributed values of the potential. We prove spectral localization (with exponentially decaying eigenfunctions) as well as dynamical localization for this model. An important ingredient of the proof is a non-stationary version of the parametric Furstenberg Theorem on random matrix products, which is also of independent interest.
Cite
@article{arxiv.2403.15970,
title = {Non-stationary Anderson Localization},
author = {Anton Gorodetski and Victor Kleptsyn},
journal= {arXiv preprint arXiv:2403.15970},
year = {2024}
}
Comments
62 pages. arXiv admin note: text overlap with arXiv:1809.00416