Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
Langue
en
Article de revue
Ce document a été publié dans
Journal of Functional Analysis. 2014p. Funct. Anal. 266 (2014), no. 5, 2662-2688
Elsevier
Résumé en anglais
In this paper we study in detail some spectral properties of the magnetic discrete Laplacian. We identify its form-domain, characterize the absence of essential spectrum and provide the asymptotic eigenvalue distribution.
Mots clés en anglais
magnetic discrete Laplacian
locally finite graphs
self-adjointness
unboundedness
semi-boundedness
spectrum
spectral graph theory
asympotic of eigenvalues
essential spectrum