2024/08/09 by Dorogovtsev, Andrey, Konarovskyi, Vitalii, von Renesse, Max
#60G57 #60K35 #FOS: Mathematics #Primary 60F05 #Probability (math.PR) #Secondary 60H40
paper · doi:10.48550/arxiv.2408.05030
The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a central limit theorem for the point process associated to the cluster positions when the system is started from a uniform configuration. The critical mixing estimate is obtained by coupling the system to countably many independent Brownian motions.