Discrete-time Markov chains and its applications

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dc.contributor.advisorRovira Escofet, Carles
dc.contributor.authorArmenteros Rey, Victor
dc.date.accessioned2026-02-23T16:07:04Z
dc.date.available2026-02-23T16:07:04Z
dc.date.issued2025-06-10
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Carles Rovira Escofet
dc.description.abstractThe main goal of this work is to understand discrete-time Markov chains and how these can be useful to solve real-life problems. This is done in two parts: in the first one, we develop the theoretical tools that we need to work with this type of stochastic processes. Theorems and propositions appear together with examples for a better understanding of the issue. In the second part, we center our attention in a specific problem, epidemics. We explain a SIR model used to describe the evolution of an infectious disease. Finally, we show several simulations for this model and analyze them.
dc.format.extent47 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/227244
dc.language.isoeng
dc.rightscc-by-nc-nd (c) Víctor Armenteros Rey, 2025
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationProcessos de Markovca
dc.subject.classificationProcessos estocàsticsca
dc.subject.classificationModels matemàticsca
dc.subject.classificationTreballs de fi de grauca
dc.subject.otherMarkov processesen
dc.subject.otherStochastic processesen
dc.subject.otherMathematical modelsen
dc.subject.otherBachelor's thesesen
dc.titleDiscrete-time Markov chains and its applications
dc.typeinfo:eu-repo/semantics/bachelorThesis

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