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TFG_Armenteros_Rey_Victor.pdf (775.87 KB)

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Bachelor thesis

Publication date

2025-06-10

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cc-by-nc-nd (c) Víctor Armenteros Rey, 2025
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/227244

Discrete-time Markov chains and its applications

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Abstract

The 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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Carles Rovira Escofet

Subject

Processos de Markov, Processos estocàstics, Models matemàtics, Víctor Armenteros Rey, Treballs de fi de grau

Subject (English)

Markov processes, Stochastic processes, Mathematical models, Subject4, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

ARMENTEROS REY, Victor. Discrete-time Markov chains and its applications. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/227244

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