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math.PR2026
Repeated averaging on expanders I: random -regular graph
Dong Yao, Lingfu Zhang
Repeated averaging on graphs is a natural prototype of local stochastic exchange, modeling consensus formation, information spreading, and wealth redistribution. Its convergence ha…
math.PR2026
Susceptible-Infected Epidemics on Evolving Graphs at Critical Infection Rate
Wenze Chen, Haojie Hou, Ruibo Ma +1
Consider an SI process on a graph where each S--I connection becomes I--I at rate . Here S and I stand for ``susceptible'' and ``infected'' respectively. The evoSI model is…
math.PR2026
A note on the cooperative two-type SIR processes on Galton-Watson trees
Ruibo Ma, Tai Heng Liu, Baghdadi Othmane +1
In the standard SIR model on a graph, infected vertices infect their neighbors at rate and recover at rate . We consider a two-type SIR process where each individual in the…