$L^p$ norms and support of eigenfunctions on graphs
Spectral Theory
2019-07-24 v2 Mathematical Physics
math.MP
Abstract
This article is concerned with properties of delocalization for eigenfunctions of Schr\"odinger operators on large finite graphs. More specifically, we show that the eigenfunctions have a large support and we assess their lp-norms. Our estimates hold for any fixed, possibly irregular graph, in prescribed energy regions, and also for certain sequences of graphs such as N-lifts.
Cite
@article{arxiv.1809.07078,
title = {$L^p$ norms and support of eigenfunctions on graphs},
author = {Etienne Le Masson and Mostafa Sabri},
journal= {arXiv preprint arXiv:1809.07078},
year = {2019}
}
Comments
To appear in Comm. Math. Phys