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Characterizing the Aperiodicity of Irreducible Markov Chains by Using P Systems
dc.creator | Cardona, Mónica | |
dc.creator | Colomer, M. Angels | |
dc.creator | Pérez Jiménez, Mario de Jesús | |
dc.date.accessioned | 2016-03-21T08:27:02Z | |
dc.date.available | 2016-03-21T08:27:02Z | |
dc.date.issued | 2009 | |
dc.identifier.isbn | 9788461328369 | es |
dc.identifier.uri | http://hdl.handle.net/11441/38857 | |
dc.description.abstract | It is well known that any irreducible and aperiodic Markov chain has exactly one stationary distribution, and for any arbitrary initial distribution, the sequence of distributions at time n converges to the stationary distribution, that is, the Markov chain is approaching equilibrium as n ! 1. In this paper, a characterization of the aperiodicity in existential terms of some state is given. At the same time, a P system with external output is associated with any irreducible Markov chain. The designed system provides the aperiodicity of that Markov chain and spends a polynomial amount of resources with respect to the size of the input. A formal verification of this solution is presented and a comparative analysis with respect to another known solution is described. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia TIN2006–13425 | |
dc.description.sponsorship | Junta de Andalucía P08-TIC-04200 | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Fénix Editora | es |
dc.relation.ispartof | Proceedings of the Seventh Brainstorming Week on Membrane Computing, vol.I, 81-95. Sevilla, E.T.S. de Ingeniería Informática, 2-6 de Febrero, 2009 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Characterizing the Aperiodicity of Irreducible Markov Chains by Using P Systems | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial | es |
dc.relation.projectID | TIN2006–13425 | |
dc.relation.projectID | P08-TIC-04200 | |
dc.contributor.group | Universidad de Sevilla. TIC193: Computación Natural | |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/38857 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | Junta de Andalucía |
Ficheros | Tamaño | Formato | Ver | Descripción |
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13_markov.pdf | 177.8Kb | [PDF] | Ver/ | |