4 papers
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…
Gelation and localization in multicomponent coagulation with multiplicative kernel through branching processes
Jochem Hoogendijk, Ivan Kryven, Camillo Schenone
The multicomponent coagulation equation is a generalisation of the Smoluchowski coagulation equation in which size of a particle is described by a vector. As with the original Smol…
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…
Higher order moments for SPDE with monotone nonlinearities
Manuel V. Gnann, Jochem Hoogendijk, Mark C. Veraar
This paper introduces a new -dependent coercivity condition through which -moments for solutions can be obtained for a large class of SPDEs in the variational framework. If…