Rumour Processes on N

Abstract

We study four discrete time stochastic systems on $\mathbb{N}$ modeling processes of rumour spreading. The involved individuals can either have an active or a passive role, speaking up or asking for the rumour. The appetite in spreading or hearing the rumour is represented by a set of random variables whose distributions may depend on the individuals. Our goal is to understand - based on those random variables distribution - whether the probability of having an infinite set of individuals knowing the rumour is positive or not.

References in corpus (1)

• The spread of a rumor or infection in a moving population

Cited by in corpus (7)

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• Rumor processes on $\mathbb{N}$ and discrete renewal processes
• Rumor processes in random environment on N and on Galton-Watson trees
• A trust model for spreading gossip in social networks
• On rumour propagation among sceptics
• Boolean percolation on digraphs and random exchange processes
• How fast do rumours spread?