34 citations · 223 across the 37 of their papers we have counts for
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math.PR2010★ 6 cited
Convergence of the all-time supremum of a Lévy process in the heavy-traffic regime
Kamil Marcin Kosinski, Onno Boxma, Bert Zwart
In this paper we derive a technique of obtaining limit theorems for suprema of Lévy processes from their random walk counterparts. For each , let be a s…
math.PR2010★ 11 cited
Lévy-driven polling systems and continuous-state branching processes
Onno Boxma, Jevgenijs Ivanovs, Kamil Marcin Kosiński +1
In this paper we consider a ring of queues served by a single server in a cyclic order. After having served a queue (according to a service discipline that may vary from q…