1 citations · 1 across the 6 of their papers we have counts for
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On the Poisson Follower Model
Natasa Dragovic, Francois Baccelli
We introduce a stochastic geometry dynamics inspired by opinion dynamics that captures the essence of modern asymmetric social networks with leaders and followers. Points in the Eu…
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…
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…
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
F. Baccelli, D. Veitch
We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the po…
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…