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Treball de fi de grau

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cc-by-nc-nd (c) Víctor Armenteros Rey, 2025
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/227244

Discrete-time Markov chains and its applications

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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.

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

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ARMENTEROS REY, Victor. Discrete-time Markov chains and its applications. [consulted: 24 of May of 2026]. Available at: https://hdl.handle.net/2445/227244

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