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Extinction, Survival and Fluctuations for the Spatial Maki--Thompson Model on Infinite Graphs
We study the spatial Maki--Thompson rumor model on infinite, connected graphs of bounded degree. Spreaders transmit the rumor to ignorant neighbors but become stiflers upon contacting non-ignorant neighbors. We prove extinction on Cayley graphs of linear growth, for every \(λ,α>0\) and every initi
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