My research is in the areas of probability theory and stochastic networks, with an emphasis on asymptotic analysis, stochastic process limits, and randomized algorithms. Problems I investigate are inspired by applications in network science, physics and computer science.

Beside my research, I like to communicate my research field to a wider audience. As one of the Dutch 'Faces of Science', I write a  blog about my research (in Dutch), and I often give public lectures, for example at high schools or theaters.

Expertise

  • Mathematics

    • Random Graphs
    • Power Law
    • Edge
    • Graph Model
    • Triangle
    • Degree Distribution
    • Clique
  • Computer Science

    • Configuration Model

Organisations

My research is in the areas of probability theory and stochastic networks, with an emphasis on asymptotic analysis, stochastic process limits, and randomized algorithms. Problems I investigate are inspired by applications in network science, physics and computer science.

Publications

2026

Uniformly sampling random directed hypergraphs with fixed degrees (2026)[Working paper › Preprint]. ArXiv.org. Kraakman, Y. J. & Stegehuis, C.https://doi.org/10.48550/arXiv.2402.06466Large Deviations for Subgraphs in Inhomogeneous Random Graphs (2026)Journal of statistical physics, 193(7). Article 81. Michielan, R., Stegehuis, C. & Zwart, B.https://doi.org/10.1007/s10955-026-03647-6Uniformly sampling random directed hypergraphs with fixed degrees (2026)Discrete mathematics, 349(6). Article 114961. Kraakman, Y. J. & Stegehuis, C.https://doi.org/10.1016/j.disc.2025.114961node2vec or triangle-biased random walks: stationarity, regularity & recurrence (2026)[Working paper › Preprint]. ArXiv.org. Avena, L., Bet, G., Schroeder, L. & Stegehuis, C.https://doi.org/10.48550/arXiv.2604.13681Simplicity of random hypergraphs (2026)[Working paper › Preprint]. ArXiv.org. Kraakman, Y. J. & Stegehuis, C.https://doi.org/10.48550/arXiv.2604.05921Exploring the Potential and Utility of Graph Neural Networks in Crash Analysis and Safety Assessment (2026)Data Science for Transportation, 8(1). Article 1. Ulak, M. B., Doedens, W. & Stegehuis, C.https://doi.org/10.1007/s42421-025-00144-2Large deviations for subgraphs in inhomogeneous random graphs (2026)[Working paper › Preprint]. ArXiv.org. Michielan, R., Stegehuis, C. & Zwart, B.https://doi.org/10.48550/arXiv.2603.06261The Geometry of Hierarchical Navigation: Accuracy and Query Cost for Point Process Input (2026)[Working paper › Preprint] (Submitted). Bhamidi, S., Dhara, S., Schroeder, L. & Stegehuis, C.https://arxiv.org/abs/2610.12312

2025

Homophily within and across groups (2025)Nature communications, 16(1). Article 11351. K. Rizi, A., Michielan, R., Stegehuis, C. & Kivelä, M.https://doi.org/10.1038/s41467-025-66415-2Localized geometry detection in scale-free random graphs (2025)Journal of applied probability (E-pub ahead of print/First online). Bet, G., Michielan, R. & Stegehuis, C.https://doi.org/10.1017/jpr.2025.10038

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 4015
Hallenweg 19
7522 NH Enschede
Netherlands

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