Publications

In this work, we propose a model to examine how network growth interventions impact the position of minority nodes in degree rankings over time. We find that even extreme quotas do not increase minority representation in rankings if the actors in the network do not adopt homophilic behaviour. Thus, interventions need to be coordinated in order to improve the visibility of minorities.

In this preprint, we investigate consensus dynamics on temporal hypergraphs that encode network systems with time-dependent, multi-way interactions.

In this chapter, we derive and analyse models for consensus dynamics on hypergraphs.

In this paper, we introduce a model for systematic edge uncertainty in attributed networks. Our model enables us to distinguish between erroneous edge observations that are driven by external node attributes or the network structure itself, thereby opening a path towards a systematic study of the effects of edge-uncertainty for various network analysis tasks.

In this paper, we explore the non-linear dynamics of consensus on hypergraphs, extending the previously introduced three-body consensus model (3CM) to hyperedges of any cardinality.

In this conference paper, we introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs.

In this work, we derive and analyze models for consensus dynamics on hypergraphs, where nodes interact in groups rather than in pairs. Our work reveals that multibody dynamical effects that go beyond rescaled pairwise interactions can appear only if the interaction function is nonlinear.

We introduce the CoRisk-Index. It is the first economic indicator of industry-specific risk assessments related to Covid-19.