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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.PR2022★ 1 cited
Coupling from the Past for the Null Recurrent Markov Chain
François Baccelli, Mir-Omid Haji-Mirsadeghi, Sayeh Khaniha
The Doeblin Graph of a countable state space Markov chain describes the joint pathwise evolutions of the Markov dynamics starting from all possible initial conditions, with two pat…