57 citations · 258 across the 25 of their papers we have counts for
25 papers
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…
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…
Conditioning the logistic continuous-state branching process on non-extinction via its total progeny
Clément Foucart, Víctor Rivero, Anita Winter
The problem of conditioning a continuous-state branching process with quadratic competition (logistic CB process) on non-extinction is investigated. We first establish that non-ext…
The grapheme-valued Wright-Fisher diffusion with mutation
Andreas Greven, Frank den Hollander, Anton Klimovsky +1
In [Athreya, den Hollander, Röllin; 2021, arXiv:1908.06241] models from population genetics were used to define stochastic dynamics in the space of graphons arising as continuum li…
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 Win…
Algebraic two-level measure trees
Josué Nussbaumer, Viet Chi Tran, Anita Winter
With the algebraic trees, Löhr and Winter (2021) introduced a generalization of the notion of graph-theoretic trees to account for potentially uncountable structures. The tree stru…