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On a Daley-Kendall model of random rumours. (English) Zbl 0698.60061

A population of N individuals, \(N\to \infty\), is such that one member learns a rumour, starts telling it to other members who spread it. A knower becomes inactive once another knower is contacted. The number of eventual knowers is asymptotically normal with mean and variance linear in N, using a diffusion approximation argument.
Reviewer: H.J.Weiner

MSC:

60J25 Continuous-time Markov processes on general state spaces
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
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