Invasion percolation and the time scaling behavior of a queuing model of human dynamics (Articolo in rivista)

Type
Label
  • Invasion percolation and the time scaling behavior of a queuing model of human dynamics (Articolo in rivista) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/1742-5468/2009/02/P02046 (literal)
Alternative label
  • Gabrielli A., Caldarelli G. (2009)
    Invasion percolation and the time scaling behavior of a queuing model of human dynamics
    in Journal of statistical mechanics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Gabrielli A., Caldarelli G. (literal)
Pagina inizio
  • P02046 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 2009 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • (February). Part of Topical articles on SigmaPhi. IOP Publishing. (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) SMC, INFM-CNR, Dipartimento di Fisica Università di Roma 'Sapienza', Piazzale Aldo Moro 2, Rome 00185, Italy and ISC, CNR, Via dei Taurini 19, Rome 00185, Italy; 2) ISC - CNR, Via dei taurini 19, 00185 - Rome, Italy (literal)
Titolo
  • Invasion percolation and the time scaling behavior of a queuing model of human dynamics (literal)
Abstract
  • In this paper we study the properties of the Barabási model of queuing under the hypothesis that the number of tasks is steadily growing in time. We map this model exactly onto an invasion percolation dynamics on a Cayley tree. This allows us to recover the correct waiting time distribution PW(?)~?-3/2 at the stationary state (as observed in different realistic data) and also to characterize it as a sequence of causally and geometrically connected bursts of activity. We also find that the approach to stationarity is very slow. (literal)
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