6 citations · 7 across the 6 of their papers we have counts for
6 papers
The asymptotic distribution of cluster sizes for supercritical percolation on random split trees
Gabriel Berzunza, Cecilia Holmgren
We consider the model of random trees introduced by Devroye (1999), the so-called random split trees. The model encompasses many important randomized algorithms and data structures…
The fluctuations of the giant cluster for percolation on random split trees
Gabriel Berzunza, Xing Shi Cai, Cecilia Holmgren
A split tree of cardinality is constructed by distributing "balls" in a subset of vertices of an infinite tree which encompasses many types of random trees such as -ary…
Trait-dependent branching particle systems with competition and multiple offspring
Gabriel Berzunza, Anja Sturm, Anita Winter
In this work we model the dynamics of a population that evolves as a continuous time branching process with a trait structure and ecological interactions in form of mutations and c…
The existence of a giant cluster for percolation on large Crump-Mode-Jagers trees
Gabriel Berzunza Ojeda
In this paper, we consider random trees associated with the genealogy of Crump-Mode-Jagers processes and perform Bernoulli bond-percolation whose parameter depends on the size of t…
On scaling limits of multitype Galton-Watson trees with possibly infinite variance
Gabriel Berzunza
In this work, we study asymptotics of multitype Galton-Watson trees with finitely many types. We consider critical and irreducible offspring distributions such that they belong to…
Yule processes with rare mutation and their applications to percolation on b-ary trees
Gabriel Berzunza
We consider supercritical Bernoulli bond percolation on a large -ary tree, in the sense that with high probability, there exists a giant cluster. We show that the size of the gi…