Rovira Escofet, CarlesJovaní Bertran, Marc2021-05-132021-05-132020-06-21https://hdl.handle.net/2445/177259Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Carles Rovira Escofet[en] In this project first we will study the Markov chains, a type of stochastic process in discrete time, that will be useful to us to study the random walk, which is a type of Markov chain, form which will see some important results. We are also going to see the Brownian Motion, an stochastic process in continuous time, and we are going to study the relation between the random walk and the Brownian motion. Finally we will show some simulations related with the processes that we have seen.45 p.application/pdfcatcc-by-nc-nd (c) Marc Jovaní Bertran, 2020http://creativecommons.org/licenses/by-nc-nd/3.0/es/AtzarTreballs de fi de grauRutes aleatòries (Matemàtica)Processos estocàsticsMoviment browniàTeoremes de límit (Teoria de probabilitats)ChanceBachelor's thesesRandom walks (Mathematics)Stochastic processesBrownian movementsLimit theorems (Probability theory)info:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess