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Cadenes de Markov i la seva aplicació a la neurofı́sica

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dc.contributor Julià de Ferran, Olga
dc.creator Trias Creus, Albert
dc.date 2017-02-10T08:12:05Z
dc.date 2017-02-10T08:12:05Z
dc.date 2016-06-27
dc.date.accessioned 2024-12-16T10:23:48Z
dc.date.available 2024-12-16T10:23:48Z
dc.identifier http://hdl.handle.net/2445/106762
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16603
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Olga Julià de Ferran
dc.description 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.
dc.format 49 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Albert Trias Creus, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Processos de Markov
dc.subject Treballs de fi de grau
dc.subject Neurones
dc.subject Xarxes neuronals (Neurobiologia)
dc.subject Entropia (Teoria de la informació)
dc.subject Markov processes
dc.subject Bachelor's theses
dc.subject Neurons
dc.subject Neural networks (Neurobiology)
dc.subject Entropy (Information theory)
dc.title Cadenes de Markov i la seva aplicació a la neurofı́sica
dc.type info:eu-repo/semantics/bachelorThesis


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