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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.PR2023
Long-range first-passage percolation on the torus
Remco van der Hofstad, Bas Lodewijks
We study a geometric version of first-passage percolation on the complete graph, known as long-range first-passage percolation. Here, the vertices of the complete graph $\mathcal K…
math.PR2023★ 1 cited
Percolation in lattice -neighbor graphs
Benedikt Jahnel, Jonas Köppl, Bas Lodewijks +1
We define a random graph obtained via connecting each point of independently to a fixed number of its nearest neighbors via a directed edge. We ca…