3 papers
math.PR2026
Unified framework for asymptotically uniform iterative construction of generalised random graphs with local constraints
Ivan Kryven, Rik Versendaal, Mike de Vries
We develop a unified framework for constructing combinatorial structures under local constraints. Our approach extends the configuration model for random graphs with a prescribed d…
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…
math.DS2024
Stable coexistence in indefinitely large systems of competing species
M. N. Mooij, M. Baudena, A. S. von der Heydt +1
The Lotka-Volterra system is a set of ordinary differential equations describing growth of interacting ecological species. This model has gained renewed interest in the context of…