dc.creatorSchaigorodsky, Ana Laura
dc.creatorPerotti, Juan Ignacio
dc.creatorAlmeira, Nahuel
dc.creatorBilloni, Orlando Vito
dc.date.accessioned2019-12-06T21:38:46Z
dc.date.accessioned2022-10-15T04:43:08Z
dc.date.available2019-12-06T21:38:46Z
dc.date.available2022-10-15T04:43:08Z
dc.date.created2019-12-06T21:38:46Z
dc.date.issued2018-02-20
dc.identifierSchaigorodsky, Ana Laura; Perotti, Juan Ignacio; Almeira, Nahuel; Billoni, Orlando Vito; Short-ranged memory model with preferential growth; American Physical Society; Physical Review E; 97; 2; 20-2-2018; 1-10
dc.identifier2470-0045
dc.identifierhttp://hdl.handle.net/11336/91681
dc.identifier2470-0053
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4346182
dc.description.abstractIn this work we introduce a variant of the Yule-Simon model for preferential growth by incorporating a finite kernel to model the effects of bounded memory. We characterize the properties of the model combining analytical arguments with extensive numerical simulations. In particular, we analyze the lifetime and popularity distributions by mapping the model dynamics to corresponding Markov chains and branching processes, respectively. These distributions follow power laws with well-defined exponents that are within the range of the empirical data reported in ecologies. Interestingly, by varying the innovation rate, this simple out-of-equilibrium model exhibits many of the characteristics of a continuous phase transition and, around the critical point, it generates time series with power-law popularity, lifetime and interevent time distributions, and nontrivial temporal correlations, such as a bursty dynamics in analogy with the activity of solar flares. Our results suggest that an appropriate balance between innovation and oblivion rates could provide an explanatory framework for many of the properties commonly observed in many complex systems.
dc.languageeng
dc.publisherAmerican Physical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.022132
dc.relationinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1711.11534
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1103/PhysRevE.97.022132
dc.rightshttps://creativecommons.org/licenses/by/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectSTATISTICAL MECHANICS
dc.subjectMEMORY EFFECTS
dc.subjectYULE-SIMON MODEL
dc.titleShort-ranged memory model with preferential growth
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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