3 papers
physics.soc-ph2017
The impact of a network split on cascading failure processes
Fiona Sloothaak, Sem C. Borst, Bert Zwart
Cascading failure models are typically used to capture the phenomenon where failures possibly trigger further failures in succession, causing knock-on effects. In many networks thi…
math.PR2017
First-passage time asymptotics over moving boundaries for random walk bridges
Fiona Sloothaak, Vitali Wachtel, Bert Zwart
We study the asymptotic tail probability of the first-passage time over a moving boundary for a random walk conditioned to return to zero, where the increments of the random walk h…
math.PR2016
Robustness of Power-law Behavior in Cascading Failure Models
F. Sloothaak, S. C. Borst, A. P. Zwart
Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. I…