# name
Lleis infinitament divisibles i processos de Lévy

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Josep Vives i Santa Eulàlia

# metadata.dc.description.abstract[].value
[en] We study infinitely divisible distributions, which are the distributions of random variables which can be decomposed into $n$ other i.i.d. variables for all $n \in \mathbb{N}$, as well as the particular case of stable laws, and we give their representation by the Lévy-Khintchine theorem. We also study Lévy processes, the stochastically continuous stochastic processes with independent and stationary increments, which have a one-to-one correspondence with infinitely divisible distributions, and give their decomposition into continuous part and jump part known as the Lévy-Itô decomposition.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Marc Piquer i Méndez, 2023

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Lleis infinitament divisibles i processos de Lévy