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math.PR2024
Opinion dynamics on dense dynamic random graphs
Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1
We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of tim…
math.PR2024
Functional Central Limit Theorem for the principal eigenvalue of dynamic Erdős-Rényi random graphs
Rajat Subhra Hazra, Nikolai Kriukov, Michel Mandjes
In this paper we consider a dynamic version of the Erdős-Rényi random graph, in which edges independently appear and disappear in time, with the on- and off times being exponential…
cs.NI2024
Characterizing the Age of Information with Multiple Coexisting Data Streams
Yoshiaki Inoue, Michel Mandjes
In this paper we analyze the distribution of the Age of Information (AoI) of a tagged data stream sharing a processor with a set of other data streams. We do so in the highly gener…