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1 results

  • Rumor Processes on N

  • Part of
  • Valdivino V. Junior, Fábio P. Machado, Mauricio Zuluaga
  • Journal:
    Journal of Applied Probability / Volume 48 / Issue 3 / September 2011
    Published online by Cambridge University Press:
    14 July 2016, pp. 624-636
    Print publication:
    September 2011
    • Article
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  • We study four discrete-time stochastic systems on N, modeling processes of rumor spreading. The involved individuals can either have an active or a passive role, speaking up or asking for the rumor. The appetite for spreading or hearing the rumor is represented by a set of random variables whose distributions may depend on the individuals. Our goal is to understand - based on the distribution of the random variables - whether the probability of having an infinite set of individuals knowing the rumor is positive or not.