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math.PR2023
On the structure of genealogical trees associated with explosive Crump-Mode-Jagers branching processes
Tejas Iyer, Bas Lodewijks
We study the structure of genealogical trees associated with explosive Crump-Mode-Jagers branching processes (stopped at the explosion time), proving criteria for the associated tr…
math.PR2020
A phase transition for preferential attachment models with additive fitness
Bas Lodewijks, Marcel Ortgiese
Preferential attachment models form a popular class of growing networks, where incoming vertices are preferably connected to vertices with high degree. We consider a variant of thi…
math.PR2018
Explosion in weighted Hyperbolic Random Graphs and Geometric Inhomogeneous Random Graphs
Júlia Komjáthy, Bas Lodewijks
In this paper we study weighted distances in scale-free spatial network models: hyperbolic random graphs (HRG), geometric inhomogeneous random graphs (GIRG) and scale-free percolat…