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math.PR2020
The Maki-Thompson rumor model on infinite Cayley trees
Valdivino V. Junior, Pablo M. Rodriguez, Adalto Speroto
In this paper we study the Maki-Thompson rumor model on infinite Cayley trees. The basic version of the model is defined by assuming that a population represented by a graph is sub…
math.PR2010
The cone percolation on $\bbT_d$
Valdivino V. Junior, Fábio P. Machado, Mauricio Zuluaga
We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour spreads out troug…