Publication: The discrete magnetic Laplacian: geometric and spectral preorders with applications
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Publication date
2020-06
Defense date
2020-06-18
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Abstract
In the present dissertation, we are interested in the spectral properties of the magnetic
Laplacian. We study the spectrum of the Magnetic Laplacian under some geometrical
perturbation on the graph. In particular, we are interested in the existence of spectral
gaps, i.e., intervals that do not contain spectrum. We begin this dissertation giving a
general context and a brief summary of some studies about the DML and in relation to
the work in this thesis.
Description
Mención Internacional en el título de doctor
Keywords
Magnetic, Spectrum, Graph theory, Discrete Laplacian, Magnetic Laplacian