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

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Showing 2022Show all

9 papers · 1 filter

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…

math.CA2022

Asymptotic analysis of Emden-Fowler type equation with an application to power flow models

M. H. M. Christianen, A. J. E. M. Janssen, M. Vlasiou +1

Emden-Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an a…

math.PR2022

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…