Dynamical Localization for the Singular Anderson Model in $\mathbb{Z}^d$
Mathematical Physics
2024-08-16 v2 math.MP
Spectral Theory
Abstract
We prove that once one has the ingredients of a ``single-energy multiscale analysis (MSA) result'' on the lattice, several spectral and dynamical localization results can be derived, the most prominent being strong dynamical localization (SDL). In particular, given the recent progress at the bottom of the spectrum for the and cases with Bernoulli single site probability distribution, our results imply SDL in these regimes.
Cite
@article{arxiv.2307.01608,
title = {Dynamical Localization for the Singular Anderson Model in $\mathbb{Z}^d$},
author = {Nishant Rangamani and Xiaowen Zhu},
journal= {arXiv preprint arXiv:2307.01608},
year = {2024}
}
Comments
28 pages