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math.PR2008★ 1 cited
A stochastic epidemiological model and a deterministic limit for BitTorrent-like peer-to-peer file-sharing networks
George Kesidis, Takis Konstantopoulos, Perla Sousi
In this paper, we propose a stochastic model for a file-sharing peer-to-peer network which resembles the popular BitTorrent system: large files are split into chunks and a peer can…
math.PR2007
Analysis of stochastic fluid queues driven by local time processes
Takis Konstantopoulos, Andreas Kyprianou, Marina Sirvio +1
We consider a stochastic fluid queue served by a constant rate server and driven by a process which is the local time of a certain Markov process. Such a stochastic system can be u…
math.PR2007
Stationary flows and uniqueness of invariant measures
Francois Baccelli, Takis Konstantopoulos
In this short paper, we consider a quadruple ,where is a -algebra of subsets of , and is a measurable bijection from into itself that preserves the…