3 papers
math.PR2025
Convergence of the pruning processes of stable Galton-Watson trees
Gabriel Berzunza Ojeda, Anita Winter
Since the work of Aldous and Pitman (1998), several authors have studied the pruning processes of Galton-Watson trees and their continuous analogue Lévy trees. Löhr, Voisin and W…
math.PR2025
Revisiting scaling limits for critical inhomogeneous random graphs with finite third moments
Louigi Addario-Berry, Sasha Bell, Prabhanka Deka +4
We consider the rank-1 inhomogeneous random graph in the Brownian regime in the critical window. Aldous studied the weights of the components, and showed that this ordered sequence…
math.PR2025
Scaling limit of the Aldous-Broder chain on regular graphs: the transient regime
Osvaldo Angtuncio Hernández, Gabriel Berzunza Ojeda, Anita Winter
The continuum random tree is the scaling limit of the uniform spanning tree on the complete graph with vertices. The Aldous-Broder chain on a graph is a discrete-time…