activity
20052023
most citedEmergent failures and cascades in power grids: a statistical physics perspective

51 citations · 263 across the 62 of their papers we have counts for

collaborators

69 papers

math.PR2023

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…

math.PR2023★ 2 cited

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,…

math.OC2022

Simulation study for the comparison of power flow models for a line distribution network with stochastic load demands

M. H. M. Christianen, M. Vlasiou, B. Zwart

We use simulation to compare different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy…

math.PR2022

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…

math.PR2022★ 1 cited

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…

math.PR2022

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…