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Título: | Exact ratchet description of Parrondo's games with self-transitions |
Autor: | Amengual, Pau; Toral, Raúl CSIC ORCID | Palabras clave: | Master and Fokker Planck equations Parrondo’s games Multiplicative noise |
Fecha de publicación: | 2004 | Editor: | The International Society for Optics and Photonics | Citación: | Proceedings of SPIE 5471: 407-415 (2004) | Resumen: | 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. | Descripción: | Noise in Complex Systems and Stochastic Dynamics II, edited by Zoltán Gingl, José M. Sancho, Lutz Schimansky-Geier, Janos Kertesz. | Versión del editor: | http://link.aip.org/link/doi/10.1117/12.556418 | URI: | http://hdl.handle.net/10261/47704 | DOI: | 10.1117/12.556418 | ISSN: | 0277-786X |
Aparece en las colecciones: | (IMEDEA) Artículos |
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C23_at04.pdf | 163,93 kB | Adobe PDF | Visualizar/Abrir |
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