English

Rumour Processes on N

Probability 2019-03-05 v1

Abstract

We study four discrete time stochastic systems on \bbN\bbN 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.

Keywords

Cite

@article{arxiv.1011.0355,
  title  = {Rumour Processes on N},
  author = {Valdivino V. Junior and Fabio P. Machado and Mauricio Zuluaga},
  journal= {arXiv preprint arXiv:1011.0355},
  year   = {2019}
}
R2 v1 2026-06-21T16:37:09.741Z