Vives i Santa Eulàlia, Josep, 1963-Zamora Font, Oriol2020-04-212020-04-212019-06-20https://hdl.handle.net/2445/156379Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Josep Vives i Santa Eulàlia[en] The aim of this project is to prove the two fundamental theorems of the theory of Lévy Processes: the Lévy-Khintchine Theorem and the Lévy-Itô Decomposition. We can interpret this two theorems as a description and classification of infinite divisible probability measures and Lévy processes, respectively. The importance of this type of probability measures and processes is that they appear in the modeling of random phenomena under certain reasonable hypothesis.80 p.application/pdfcatcc-by-nc-nd (c) Oriol Zamora Font, 2019http://creativecommons.org/licenses/by-nc-nd/3.0/es/Processos de LévyTreballs de fi de grauProcessos estocàsticsVariables aleatòriesMoviment browniàLévy processesBachelor's thesesStochastic processesRandom variablesBrownian movementsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess