22 citations · 70 across the 24 of their papers we have counts for
4 papers · 1 filter
Brownian flights over a circle
Alexander Vladimirov, Senya Shlosman, Sergei Nechaev
The stationary radial distribution, , of the random walk with the diffusion coefficient , which winds with the tangential velocity around the impenetrable disc of radi…
Propagation of Chaos and Poisson Hypothesis
Serge Pirogov, Alexander Rybko, Senya Shlosman +1
We establish the Strong Poisson Hypothesis for symmetric closed networks. In particular, the asymptotic independence of the nodes -- as the size of the system tends to infinity --…
A large deviation principle for join the shortest queue
Anatolii A. Puhalskii, Alexander A. Vladimirov
We consider a join-the-shortest-queue model which is as follows. There are single FIFO servers and arrival processes. The customers from a given arrival process can be serv…
Self-averaging property of queuing systems
Alexandre Rybko, Senya Shlosman, Alexandre Vladimirov
We establish the averaging property for a queuing process with one server, M(t)/GI/1. It is a new relation between the output flow rate and the input flow rate, crucial in the stud…