Introducing a Probabilistic Structure on Sequential Dynamical Systems, Simulation and Reduction of Probabilistic Sequential Networks

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dc.creatorAvino-Diaz, Maria A.
dc.date2007-06-29
dc.date2008-04-30
dc.date.accessioned2026-07-07T09:35:41Z
dc.date.available2026-07-07T09:35:41Z
dc.descriptionA probabilistic structure on sequential dynamical systems is introduced here, the new model will be called Probabilistic Sequential Network, PSN. The morphisms of Probabilistic Sequential Networks are defined using two algebraic conditions. It is proved here that two homomorphic Probabilistic Sequential Networks have the same equilibrium or steady state probabilities if the morphism is either an epimorphism or a monomorphism. Additionally, the proof of the set of PSN with its morphisms form the category PSN, having the category of sequential dynamical systems SDS, as a full subcategory is given. Several examples of morphisms, subsystems and simulations are given.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0707.0026
dc.identifierhttp://arxiv.org/abs/0707.0026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159914
dc.subjectGenomics
dc.subjectProbability
dc.subjectMolecular Networks
dc.titleIntroducing a Probabilistic Structure on Sequential Dynamical Systems, Simulation and Reduction of Probabilistic Sequential Networks
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