3 papers
math.AP2026
Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation
Ivan Kryven, Elena Magnanini
We study a spatial version of the Smoluchowski coagulation equation in which particles carry both an integer mass and a spatial location, and coagulate according to a mass-space pr…
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-ph2024
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…