Cutoff for the averaging process on the hypercube and complete bipartite graphs

نویسندگان

چکیده

We consider the averaging process on a graph, that is evolution of mass distribution undergoing repeated averages along edges graph at arrival times independent Poisson processes. establish cutoff phenomena for both L1 and L2 distance from stationarity when discrete hypercube complete bipartite. Some general facts about arbitrary graphs are also discussed.

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ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 2023

ISSN: ['1083-6489']

DOI: https://doi.org/10.1214/23-ejp993