Lp Norms and Support of Eigenfunctions on Graphs

Etienne Le Masson; Mostafa Sabri

doi:10.1007/s00220-019-03473-w

L^p Norms and Support of Eigenfunctions on Graphs

Etienne Le Masson, Mostafa Sabri

Science

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Abstract

This article is concerned with properties of delocalization for eigenfunctions of Schrödinger operators on large finite graphs. More specifically, we show that the eigenfunctions have a large support and we assess their ℓ^p-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.

Original language	English (US)
Pages (from-to)	211-240
Number of pages	30
Journal	Communications In Mathematical Physics
Volume	374
Issue number	1
DOIs	https://doi.org/10.1007/s00220-019-03473-w
State	Published - Feb 1 2020

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Cite this

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abstract = "This article is concerned with properties of delocalization for eigenfunctions of Schr{\"o}dinger 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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L^p Norms and Support of Eigenfunctions on Graphs

Abstract

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