3 papers
math.PR2026
Multitype Lévy trees as scaling limits of multitype Bienaymé-Galton-Watson trees
Osvaldo Angtuncio Hernández, David Clancy
We establish sufficient mild conditions for a sequence of multitype Bienaymé-Galton-Watson trees, conditioned in some sense to be large, to converge to a limiting compact metric s…
math.PR2025
Fluctuations of the giant of Poisson random graphs
David Clancy
Enriquez, Faraud, and Lemaire (2023) have established process-level fluctuations for the giant of the dynamic ErdÅs-Rényi random graph above criticality and show that the limit i…
math.PR2025
A central limit theorem for the giant in a stochastic block model
David Clancy
We provide a simple proof for of the central limit theorem for the number of vertices in the giant for super-critical stochastic block model using the breadth-first walk of Konarov…