The discrete magnetic Laplacian: geometric and spectral preorders with applications

Mención Internacional en el título de doctor 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 spe...

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Published in:Linear Algebra and its Applications
Main Author: Fabila Carrasco, John Stewart
Other Authors: Lledó Macau, Fernando, UC3M. Departamento de Matemáticas, Ministerio de Economía y Competitividad (España)
Format: Doctoral or Postdoctoral Thesis
Language:English
Published: 2020
Subjects:
Magnetic
Spectrum
Graph theory
Discrete Laplacian
Magnetic Laplacian
Matemáticas
DML
Online Access:http://hdl.handle.net/10016/31372
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spelling ftunivcarlosmadr:oai:e-archivo.uc3m.es:10016/31372 2024-01-21T10:05:46+01:00 The discrete magnetic Laplacian: geometric and spectral preorders with applications Fabila Carrasco, John Stewart Lledó Macau, Fernando UC3M. Departamento de Matemáticas Ministerio de Economía y Competitividad (España) 2020-06-18 http://hdl.handle.net/10016/31372 eng eng https://doi.org/10.1016/j.laa.2018.02.006 https://doi.org/10.3390/sym11091163 Gobierno de España. DGI MTM2014-54692-P Gobierno de España. MTM2017-84098-P http://hdl.handle.net/10016/31372 Atribución-NoComercial-SinDerivadas 3.0 España http://creativecommons.org/licenses/by-nc-nd/3.0/es/ open access Magnetic Spectrum Graph theory Discrete Laplacian Magnetic Laplacian Matemáticas doctoral thesis 2020 ftunivcarlosmadr https://doi.org/10.1016/j.laa.2018.02.00610.3390/sym11091163 2023-12-27T00:19:06Z Mención Internacional en el título de doctor 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. Este trabajo fue apoyado por el Ministerio de Economía y Competitividad mediante los programas DGI MTM2014-54692-P y MTM2017-84098-P. Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de Madrid Presidente: Carlos Marijuán López.- Secretario: Julio Íñigo de Vicente Majua.- Vocal: Natalia Saburova Doctoral or Postdoctoral Thesis DML Universidad Carlos III de Madrid: e-Archivo Linear Algebra and its Applications 547 183 216
institution Open Polar
collection Universidad Carlos III de Madrid: e-Archivo
op_collection_id ftunivcarlosmadr
language English
topic Magnetic
Spectrum
Graph theory
Discrete Laplacian
Magnetic Laplacian
Matemáticas
spellingShingle Magnetic
Spectrum
Graph theory
Discrete Laplacian
Magnetic Laplacian
Matemáticas
Fabila Carrasco, John Stewart
The discrete magnetic Laplacian: geometric and spectral preorders with applications
topic_facet Magnetic
Spectrum
Graph theory
Discrete Laplacian
Magnetic Laplacian
Matemáticas
description Mención Internacional en el título de doctor 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. Este trabajo fue apoyado por el Ministerio de Economía y Competitividad mediante los programas DGI MTM2014-54692-P y MTM2017-84098-P. Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de Madrid Presidente: Carlos Marijuán López.- Secretario: Julio Íñigo de Vicente Majua.- Vocal: Natalia Saburova
author2 Lledó Macau, Fernando
UC3M. Departamento de Matemáticas
Ministerio de Economía y Competitividad (España)
format Doctoral or Postdoctoral Thesis
author Fabila Carrasco, John Stewart
author_facet Fabila Carrasco, John Stewart
author_sort Fabila Carrasco, John Stewart
title The discrete magnetic Laplacian: geometric and spectral preorders with applications
title_short The discrete magnetic Laplacian: geometric and spectral preorders with applications
title_full The discrete magnetic Laplacian: geometric and spectral preorders with applications
title_fullStr The discrete magnetic Laplacian: geometric and spectral preorders with applications
title_full_unstemmed The discrete magnetic Laplacian: geometric and spectral preorders with applications
title_sort discrete magnetic laplacian: geometric and spectral preorders with applications
publishDate 2020
url http://hdl.handle.net/10016/31372
genre DML
genre_facet DML
op_relation https://doi.org/10.1016/j.laa.2018.02.006
https://doi.org/10.3390/sym11091163
Gobierno de España. DGI MTM2014-54692-P
Gobierno de España. MTM2017-84098-P
http://hdl.handle.net/10016/31372
op_rights Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
open access
op_doi https://doi.org/10.1016/j.laa.2018.02.00610.3390/sym11091163
container_title Linear Algebra and its Applications
container_volume 547
container_start_page 183
op_container_end_page 216
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