Work

Non-stationary Anderson localization

Year: 2025

Type: article

Abstract: We consider discrete Schrödinger operators on ℓ 2 ( Z ) \ell ^2(\mathbb {Z}) 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.

Source: Communications of the American Mathematical Society

DOI: 10.1090/cams/45

Authors: Anton Gorodetski, Victor Kleptsyn

Institutions: University of California, Irvine, Centre National de la Recherche Scientifique, Institut de recherche mathématique de Rennes

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Centre Henri Lebesgue, Agence Nationale de la Recherche