Dr Bas Lodewijks
School of Mathematical and Physical Sciences
Lecturer in Probability
bas.lodewijks@sheffield.ac.uk
I22a, Hicks Building
Full contact details
Dr Bas Lodewijks
School of Mathematical and Physical Sciences
I22a
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
School of Mathematical and Physical Sciences
I22a
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Profile
-
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).
- 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
- 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.