A Yule-Simon process with memory

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dc.creatorCattuto, C.
dc.creatorLoreto, V.
dc.creatorServedio, V. D. P.
dc.date2006-08-30
dc.date.accessioned2026-07-07T07:19:52Z
dc.date.available2026-07-07T07:19:52Z
dc.descriptionThe Yule-Simon model has been used as a tool to describe the growth of diverse systems, acquiring a paradigmatic character in many fields of research. Here we study a modified Yule-Simon model that takes into account the full history of the system by means of an hyperbolic memory kernel. We show how the memory kernel changes the properties of preferential attachment and provide an approximate analytical solution for the frequency distribution density as well as for the frequency-rank distribution.
dc.description7 pages, 5 figures; accepted for publication in Europhysics Letters
dc.identifierhttps://arxiv.org/abs/cond-mat/0608672
dc.identifierhttp://arxiv.org/abs/cond-mat/0608672
dc.identifierEurophys. Lett. 76, 208 (2006)
dc.identifierdoi:10.1209/epl/i2006-10263-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114788
dc.subjectStatistical Mechanics
dc.subjectData Analysis, Statistics and Probability
dc.titleA Yule-Simon process with memory
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