Limit theorems for Non-Markovian rumor models

Published 9 Jul 2024 in math.PR | (2407.07170v2)

Abstract: We introduce a non-Markovian rumor model in the complete graph on $n$ vertices inspired by Daley and Kendall's ideas (1964). For this model, we prove a functional law of large numbers (FLLN) and a functional central limit theorem (FCLT). We apply these results to a non-Markovian version of the model introduced by Lebensztayn, Machado and Rodr\'{i}guez (2011).

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