Exact ratchet description of Parrondo's games with self-transitions

Noise in Complex Systems and Stochastic Dynamics II, edited by Zoltán Gingl, José M. Sancho, Lutz Schimansky-Geier, Janos Kertesz.

Detalles Bibliográficos
Autores: Amengual, Pau, Toral, Raúl
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/47704
Acceso en línea:http://hdl.handle.net/10261/47704
Access Level:acceso abierto
Palabra clave:Master and Fokker
Planck equations
Parrondo’s games
Multiplicative noise
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spelling Exact ratchet description of Parrondo's games with self-transitionsAmengual, PauToral, RaúlMaster and FokkerPlanck equationsParrondo’s gamesMultiplicative noiseNoise in Complex Systems and Stochastic Dynamics II, edited by Zoltán Gingl, José M. Sancho, Lutz Schimansky-Geier, Janos Kertesz.We extend a recently developed relation between the master equation describing the Parrondo’s games and the formalism of the Fokker–Planck equation to the case in which the games are modified with the introduction of “self–transition probabilities”. This accounts for the possibility that the capital can neither increase nor decrease during a game. Using this exact relation, we obtain expressions for the stationary probability and current (games gain) in terms of an effective potential. We also demonstrate that the expressions obtained are nothing but a discretised version of the equivalent expressions in terms of the solution of the Fokker–Planck equation with multiplicative noise.Peer reviewedThe International Society for Optics and Photonics201220122004info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://hdl.handle.net/10261/47704reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://link.aip.org/link/doi/10.1117/12.556418info:eu-repo/semantics/openAccessoai:digital.csic.es:10261/477042026-05-22T06:33:51Z
dc.title.none.fl_str_mv Exact ratchet description of Parrondo's games with self-transitions
title Exact ratchet description of Parrondo's games with self-transitions
spellingShingle Exact ratchet description of Parrondo's games with self-transitions
Amengual, Pau
Master and Fokker
Planck equations
Parrondo’s games
Multiplicative noise
title_short Exact ratchet description of Parrondo's games with self-transitions
title_full Exact ratchet description of Parrondo's games with self-transitions
title_fullStr Exact ratchet description of Parrondo's games with self-transitions
title_full_unstemmed Exact ratchet description of Parrondo's games with self-transitions
title_sort Exact ratchet description of Parrondo's games with self-transitions
dc.creator.none.fl_str_mv Amengual, Pau
Toral, Raúl
author Amengual, Pau
author_facet Amengual, Pau
Toral, Raúl
author_role author
author2 Toral, Raúl
author2_role author
dc.subject.none.fl_str_mv Master and Fokker
Planck equations
Parrondo’s games
Multiplicative noise
topic Master and Fokker
Planck equations
Parrondo’s games
Multiplicative noise
description Noise in Complex Systems and Stochastic Dynamics II, edited by Zoltán Gingl, José M. Sancho, Lutz Schimansky-Geier, Janos Kertesz.
publishDate 2004
dc.date.none.fl_str_mv 2004
2012
2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/47704
url http://hdl.handle.net/10261/47704
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://link.aip.org/link/doi/10.1117/12.556418
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv The International Society for Optics and Photonics
publisher.none.fl_str_mv The International Society for Optics and Photonics
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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