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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 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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. |
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ISSN: | 0021-9002 1475-6072 |
DOI: | 10.1017/S0021900200008202 |