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The discrete magnetic Laplacian: geometric and spectral preorders with applications

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2020-06
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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.
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Mención Internacional en el título de doctor
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Magnetic, Spectrum, Graph theory, Discrete Laplacian, Magnetic Laplacian
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