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math.SP2015
The magnetic Laplacian acting on discrete cusps
Sylvain Golénia, Françoise Truc
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…
math.SP2007
The spectrum of Schrödinger operators and Hodge Laplacians on conformally cusp manifolds
Sylvain Golénia, Sergiu Moroianu
We describe the spectrum of the -form Laplacian on conformally cusp Riemannian manifolds. The essential spectrum is shown to vanish precisely when the and de Rham coho…