The rumor percolation model and its variations
  The study of rumor models from a percolation theory point of view has gained a few adepts in the last few years. The persistence of a rumor, which may consistently spread out throughout a population can be associated to the existence of a giant component containing the origin of a graph. That is one of the main interest in percolation theory. In this paper we present a quick review of recent results on rumor models of this type. 
Valdivino V. Junior, F\'abio P. Machado and Krishnamurthi Ravishankar
math.PR