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math.PR2022
Migration-Contagion Processes
Francois Baccelli, Sergey Foss, Vsevolod Shneer
Consider a migration process based on a closed network of N stations with K_N customers. Each station is a ./M/\infty queue with service (migration) rate mu. Upon departure, a cust…
math.PR2011
Poisson Hail on a Hot Ground
Francois Baccelli, Sergey Foss
We consider a queue where the server is the Euclidean space, and the customers are random closed sets (RACS) of the Euclidean space. These RACS arrive according to a Poisson rain a…