3 papers
cs.IT2025
Poisson Hail on a Wireless Ground
François Baccelli, Ke Feng, Sergey Foss
This paper defines a new model which incorporates three key ingredients of a large class of wireless communication systems: (1) spatial interactions through interference, (2) dynam…
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…