The magnetic Laplacian acting on discrete cusps
arXiv:1507.02638
Abstract
We introduce the notion of discrete cusp for a weighted graph. In this context, we provethat the form-domain of the magnetic Laplacian and that of thenon-magnetic Laplacian can be different. We establish the emptiness of the essential spectrum and compute theasymptotic of eigenvalues for the magnetic Laplacian.
In this new version we correct some mistakes and we provide more detailed proofs. Some results are also improved