2 papers
math.PR2025
A limit theorem for the total progeny distribution of multi-type branching processes
Jochem Hoogendijk, Ivan Kryven, Rik Versendaal
A multi-type branching process is defined as a random tree with labeled vertices, where each vertex produces offspring independently according to the same multivariate probability…
math.AP2024
Branching process representation for nonlinear first-order conservation PDEs in 1D
Jochem Hoogendijk, Ivan Kryven
We show that a large class of 1D first-order conservation PDEs can be probabilistically represented using multi-type branching processes. The representation holds when the initial…