English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/47704
Compartir / Impacto:
Estadísticas
Add this article to your Mendeley library MendeleyBASE
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Título

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

AutorAmengual, Pau; Toral, Raúl
Palabras claveMaster and Fokker
Planck equations
Parrondo’s games
Multiplicative noise
Fecha de publicación2004
EditorSociety of Photo-Optical Instrumentation Engineers
CitaciónProceedings of SPIE 5471: 407-415 (2004)
ResumenWe 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.
DescripciónNoise in Complex Systems and Stochastic Dynamics II, edited by Zoltán Gingl, José M. Sancho, Lutz Schimansky-Geier, Janos Kertesz.
Versión del editorhttp://link.aip.org/link/doi/10.1117/12.556418
URIhttp://hdl.handle.net/10261/47704
DOI10.1117/12.556418
ISSN0277-786X
Aparece en las colecciones: (IMEDEA) Artículos
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
C23_at04.pdf163,93 kBAdobe PDFVista previa
Visualizar/Abrir
Mostrar el registro completo
 

Artículos relacionados:


NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.