Dr
Bas
Lodewijks
School of Mathematical and Physical Sciences
Lecturer in Probability
bas.lodewijks@sheffield.ac.uk
Hicks Building
Full contact details
Dr Bas Lodewijks
Hicks Building
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Profile
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I completed my undergraduate studies at the University of Technology Eindhoven in the Netherlands, after which I obtained a PhD at the University of Bath under the supervision of Marcel Ortgiese. Before coming to the University of Sheffield as a Lecturer in 2025, I was a postdoctoral researcher at the University of Lyon 1 and University of Saint-Etienne and held a Marie Skłodowska-Curie Fellowship at the University of Augsburg.
- Publications
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Journal articles
- The maximal degree in random recursive graphs with random weights. The Annals of Applied Probability, 34(4).
- The location of high-degree vertices in weighted recursive graphs with bounded random weights. Advances in Applied Probability, 56(3), 868-926.
- Fine asymptotics for the maximum degree in weighted recursive trees with bounded random weights. Stochastic Processes and their Applications, 158, 505-569.
- On joint properties of vertices with a given degree or label in the random recursive tree. Electronic Journal of Probability, 27(none).
- Explosion in weighted hyperbolic random graphs and geometric inhomogeneous random graphs. Stochastic Processes and their Applications, 130(3), 1309-1367.
- A phase transition for preferential attachment models with additive fitness. Electronic Journal of Probability, 25(none).
- A star is born: Explosive Crump–Mode–Jagers branching processes. Journal of Applied Probability, 1-19.
- Percolation in lattice k-neighbor graphs. Journal of Applied Probability, 1-18.
- Long-Range First-Passage Percolation on the Torus. Journal of Statistical Physics, 191(9).
Preprints
- On the largest common subtree of uniform attachment trees.
- High-degree vertices in uniform recursive directed acyclic graphs with freezing.
- On the depth of depth-weighted trees.
- Local criteria for global connectivity comparisons: beyond stochastic
domination.
- Preferential Attachment Trees with Vertex Death: Persistence of the
Maximum Degree.
- Preferential Attachment Trees with Vertex Death: Lack of Persistence of
the Maximum Degree.
- A star is born: Explosive Crump-Mode-Jagers branching processes in
random environment.
- Long-range competition on the torus.
- Long-range first-passage percolation on the torus.
- On the structure of genealogical trees associated with explosive
Crump-Mode-Jagers branching processes.
- Percolation in lattice $k$-neighbor graphs.
- Dynamic random graphs with vertex removal.
- On the first and second largest components in the percolated Random
Geometric Graph.
- On joint properties of vertices with a given degree or label in the
random recursive tree.
- The location of high-degree vertices in weighted recursive graphs with
bounded random weights.
- Fine asymptotics for the maximum degree in weighted recursive trees with
bounded random weights.
- The maximal degree in random recursive graphs with random weights.
- A phase transition for preferential attachment models with additive
fitness.
- Mapping NP-hard and NP-complete optimisation problems to Quadratic
Unconstrained Binary Optimisation problems.
- Explosion in weighted Hyperbolic Random Graphs and Geometric
Inhomogeneous Random Graphs.
- The maximal degree in random recursive graphs with random weights. The Annals of Applied Probability, 34(4).
- Research group
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My main interests lie in (discrete) probability theory, in particular random graphs where we study the patterns and structure that arise in such graphs as their size (number of vertices/edge becomes large) I study a variety of random graph models that aim to describe the structure of real-world networks and processes that take place on such real-world networks. Branching processes and first-passage percolation are common tools for the analysis of such models, which I work with on occasion as well.