Research

Research profile

I study geometric random graphs and dependent percolation using multi-scale and geometric techniques. You can also browse my profiles on arXiv and ORCID. Some of the papers below come with an interactive browser simulation.

Submitted papers and preprints

• Rainbow percolationPreprintSimulation
  with Benjamin Lees, arXiv:2608.12954
  Interactive simulation: an illustrated tour of the model
• Detection, coverage and percolation in dynamic Boolean models with random radii based on $\alpha$-stable processesPreprintSimulations
  with Benedikt Jahnel, Lukas Lüchtrath and Anh Duc Vu, arXiv:2602.22109
  Interactive simulations: Lévy flight vs Brownian motion · detection and coverage times
• Chemical distance in the Poisson Boolean model with regularly varying diametersPreprint
  with Marilyn Korfhage, arXiv:2503.18577
• Robustness in the Poisson Boolean model with convex grainsPreprint
  with Marilyn Korfhage and Peter Mörters, arXiv:2410.13366
• Geometric scale-free random graphs on mobile vertices: broadcast and percolation timesPreprintSimulation
  with Arne Grauer, arXiv:2404.15124
  Interactive simulation: an SIS epidemic on a mobile geometric graph

Published and accepted papers

• Lipschitz cutset for fractal graphs and applications to the spread of infectionsPublished
  with Alexander Drewitz and Gioele Gallo, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 62(2): 830-878 (2026)
• Finiteness of the percolation threshold for inhomogeneous long-range models in one dimensionPublished
  with Lukas Lüchtrath and Christian Mönch, Electronic Journal of Probability, 30: 1-29 (2025)
• The contact process on scale-free geometric random graphsPublishedSimulation
  with Arne Grauer, Stochastic Processes and their Applications, Volume 173: 104360 (2024)
  Interactive simulation: an SIS epidemic on a mobile geometric graph
• The Emergence of a Giant Component in One-Dimensional Inhomogeneous Networks with Long-Range EffectsPublished
  with Lukas Lüchtrath and Christian Mönch, Algorithms and Models for the Web Graph, WAW 2023: 19-35 (2023)
• Chemical distance in geometric random graphs with long edges and scale-free degree distributionPublished
  with Arne Grauer and Peter Mörters, Communications in Mathematical Physics, 395: 859-906 (2022)
• Recurrence versus Transience for Weight-Dependent Random Connection ModelsPublished
  with Markus Heydenreich, Christian Mönch and Peter Mörters, Electronic Journal of Probability, 27: 1-31 (2022)
• Percolation phase transition in weight-dependent random connection modelsPublished
  with Lukas Lüchtrath and Peter Mörters, Advances in Applied Probability, 53(4), 1090-1114 (2021)
  Part of the June 2025 Applied Probability Collection on phase transitions.
• Transience Versus Recurrence for Scale-Free Spatial NetworksPublished
  with Markus Heydenreich, Christian Mönch and Peter Mörters, Algorithms and Models for the Web Graph, WAW 2020: 96-110 (2020)
• Random walks in random conductances: decoupling and spread of infectionPublished
  with Alexandre Stauffer, Stochastic Processes and their Applications, 129: 3547-3569 (2019)
• The age-dependent random connection modelPublished
  with Arne Grauer, Lukas Lüchtrath and Peter Mörters, Queueing Systems, 93: 309-331 (2019)
• Multi-scale Lipschitz percolation of increasing events for Poisson random walksPublished
  with Alexandre Stauffer, Annals of Applied Probability, 29: 376-433 (2019)
• Percolation of Lipschitz surface and tight bounds on the spread of information among mobile agentsPublished
  with Alexandre Stauffer, APPROX-RANDOM 2018, 39: 1-17 (2018)

Collaborators

Alexander Drewitz, Gioele Gallo, Arne Grauer, Markus Heydenreich, Benedikt Jahnel, Marilyn Korfhage, Benjamin Lees, Lukas Lüchtrath, Christian Mönch, Peter Mörters, Alexandre Stauffer, Anh Duc Vu

Selected conferences and workshops

• Spreading dynamics in random environments, Berlin, Germany (2026)
• LASR 2026: Statistics, Deep Learning and Graphical Models, Leeds, UK (2026)
• Long-range phenomena in Percolation, Cologne, Germany (2024)
• Stochastic Geometry in Action, Bath, UK (2024)
• Dynamic spatial random systems, Berlin, Germany (2024)
• Recent Trends in Spatial Stochastic Processes, Eindhoven, Netherlands (2022)
• Random Geometric Systems: First Annual Conference, Berlin, Germany (2022)
• Spatial Networks and Percolation, Oberwolfach, Germany (2021)
• YEP XV "Information Diffusion on Random Networks", Eindhoven, Netherlands (2019)
• APPROX/RANDOM 2018, Princeton, USA (2018)
• Strongly Correlated Random Interacting Processes, Oberwolfach, Germany (2018)