The Rumor Percolation Model and Its Variations

Abstract

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.

Boolean percolation on digraphs and random exchange processes

“…As µ 0 > 0, with some positive probability, a fountain fails to operate at all. Our percolation model and variants of it were studied by various authors, see [29], [24], [25], [6], [14], and [23]. For a recent survey, see [23].…”

“…Our percolation model and variants of it were studied by various authors, see [29], [24], [25], [6], [14], and [23]. For a recent survey, see [23]. We can interpret our percolation model as the spread of a rumor through a network, a firework process, or a discrete version of Boolean percolation.…”