$L^p$ norms and support of eigenfunctions on graphs

Etienne Le Masson; Mostafa Sabri

doi:10.1007/s00220-019-03473-w

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arXiv · 1809.07078

$L^p$ norms and support of eigenfunctions on graphs

Etienne Le Masson·Mostafa Sabri

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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.

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BibTeX RIS

Etienne Le Masson, Mostafa Sabri. 2018-09-19. $L^p$ norms and support of eigenfunctions on graphs. https://doi.org/10.1007/s00220-019-03473-w

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