Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

memoria.pdf (640.02 KB)

Document type

Bachelor thesis

Publication date

2016-06-27

Publication license

cc-by-nc-nd (c) Albert Trias Creus, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/106762

Cadenes de Markov i la seva aplicació a la neurofı́sica

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

Markov chains are primarily characterized by the probability distribution of their next state solely depending on their current one. This specific trait has enabled Markov chains to be applied in various fields of study, such as chemistry, economics and music. By expanding the theory of Markov chains to higher order Markov chains, where the probability distribution of their next state depends on their current one as well as on past ones, they also have an application in neurophysics. This work will study the theory behind Markov chains, going through higher order Markov chains and finally arriving to the expression of a powerful mathematical tool called transfer entropy, which quantifies the directionality and strength of connections among neurons, helping to shed some light into the mysteries of the brain.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Olga Julià de Ferran

Subject

Processos de Markov, Treballs de fi de grau, Neurones, Xarxes neuronals (Neurobiologia), Entropia (Teoria de la informació)

Subject (English)

Markov processes, Bachelor's theses, Neurons, Neural networks (Neurobiology), Entropy (Information theory)

Citation

Collections

Treballs Finals de Grau (TFG) - Matemàtiques

Citation

TRIAS CREUS, Albert. Cadenes de Markov i la seva aplicació a la neurofı́sica. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/106762

Export metadata

JSON - METS

Share record