Potential Theory, Minimal Energy and Coulomb Gases

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dc.contributor.advisorMarzo Sánchez, Jordi
dc.contributor.authorEscrihuela Peñarrocha, Altaïr
dc.date.accessioned2026-07-07T12:04:05Z
dc.date.available2026-07-07T12:04:05Z
dc.date.issued2026-06-12
dc.descriptionTreballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2026. Director: Jordi Marzo
dc.description.abstractThis project provides an introduction to potential theory in the complex plane, covering both the classical setting and the framework of external fields. The main focus is the study of discrete energy minimization problems and their relation to the corresponding continuous equilibrium measures. We present the fundamental concepts and results of the theory, and discuss several illustrative examples and applications.
dc.format.extent83 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/230517
dc.language.isoeng
dc.rightscc by-nc-nd (c) Escrihuela Peñarrocha, Altaïr, 2026
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
dc.sourceMàster Oficial - Matemàtica Avançada
dc.subject.classificationAnàlisi matemàtica
dc.subject.classificationTeoria de la mesura
dc.subject.classificationProbabilitats
dc.subject.classificationTreballs de fi de màster
dc.subject.otherMathematical analysis
dc.subject.otherMeasure theory
dc.subject.otherProbabilities
dc.subject.otherMaster's thesis
dc.titlePotential Theory, Minimal Energy and Coulomb Gases
dc.typeinfo:eu-repo/semantics/masterThesis

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