51 citations · 263 across the 62 of their papers we have counts for
52 papers · 1 filter
Dynamic random intersection graph: Dynamic local convergence and giant structure
Marta Milewska, Remco van der Hofstad, Bert Zwart
Random intersection graphs containing an underlying community structure are a popular choice for modelling real-world networks. Given the group memberships, the classical random in…
Large deviations for triangles in scale-free random graphs
Clara Stegehuis, Bert Zwart
We provide large deviations estimates for the upper tail of the number of triangles in scale-free inhomogeneous random graphs where the degrees have power law tails with index $-α,…
Scale-free graphs with many edges
Clara Stegehuis, Bert Zwart
We develop tail estimates for the number of edges in a Chung-Lu random graph with regularly varying weight distribution. Our results show that the most likely way to have an unusua…
Maximum waiting time in heavy-tailed fork-join queues
Dennis Schol, Maria Vlasiou, Bert Zwart
In this paper, we study the maximum waiting time in an -server fork-join queue with heavy-tailed services as . The service times are the p…
Tail Asymptotics for the Delay in a Brownian Fork-Join Queue
Dennis Schol, Maria Vlasiou, Bert Zwart
In this paper, we study the tail behavior of as , with i.i.d. Brownian motions and an inde…
Conjectures on Symmetric Queues in Heavy Traffic
Bert Zwart
This note describes several open questions concerning scaling limits of queue-length processes of symmetric queues in heavy traffic, distinguishing between service-time distributio…