Rumor Processes On ℕ And Discrete Renewal Processes

dc.creatorGallo S.
dc.creatorGarcia N.L.
dc.creatorJunior V.V.
dc.creatorRodriguez P.M.
dc.date2014
dc.date2015-06-25T17:55:34Z
dc.date2015-11-26T14:39:34Z
dc.date2015-06-25T17:55:34Z
dc.date2015-11-26T14:39:34Z
dc.date.accessioned2018-03-28T21:45:19Z
dc.date.available2018-03-28T21:45:19Z
dc.identifier
dc.identifierJournal Of Statistical Physics. Springer New York Llc, v. 155, n. 3, p. 591 - 602, 2014.
dc.identifier224715
dc.identifier10.1007/s10955-014-0959-1
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84898549254&partnerID=40&md5=21e5967dad5b849bca2001aa2498b5c3
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/86863
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/86863
dc.identifier2-s2.0-84898549254
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1250050
dc.descriptionWe study two rumor processes on ℕ, the dynamics of which are related to an SI epidemic model with long range transmission. Both models start with one spreader at site 0 and ignorants at all the other sites of ℕ, but differ by the transmission mechanism. In one model, the spreaders transmit the information within a random distance on their right, and in the other the ignorants take the information from a spreader within a random distance on their left. We obtain the probability of survival, information on the distribution of the range of the rumor and limit theorems for the proportion of spreaders. The key step of our proofs is to show that, in each model, the position of the spreaders on ℕ can be related to a suitably chosen discrete renewal process. © 2014 Springer Science+Business Media New York.
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dc.languageen
dc.publisherSpringer New York LLC
dc.relationJournal of Statistical Physics
dc.rightsfechado
dc.sourceScopus
dc.titleRumor Processes On ℕ And Discrete Renewal Processes
dc.typeArtículos de revistas


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