Geodesic
The Magnetic Laplacian Acting on Discrete Cusps
Documenta mathematica, Tome 22 (2017), pp. 1709-1727.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We introduce the notion of discrete cusp for a weighted graph. In this context, we prove that the form-domain of the magnetic Laplacian and that of the non-magnetic Laplacian can be different. We establish the emptiness of the essential spectrum and compute the asymptotic of eigenvalues for the magnetic Laplacian.
Classification : 34L20, 47A10, 05C63, 47B25, 47A63, 81Q10
Keywords: discrete magnetic Laplacian, locally finite graphs, eigenvalues, asymptotic, form-domain 
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     title = {The {Magnetic} {Laplacian} {Acting} on {Discrete} {Cusps}},
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Golénia, Sylvain; Truc, Françoise. The Magnetic Laplacian Acting on Discrete Cusps. Documenta mathematica, Tome 22 (2017), pp. 1709-1727. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a1/