Rumor Processes on N

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 di...

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Published in:Journal of applied probability 2011-09, Vol.48 (3), p.624-636
Main Authors: Junior, Valdivino V., Machado, Fábio P., Zuluaga, Mauricio
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Language:English
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description 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.
doi_str_mv 10.1017/S0021900200008202
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