Research outputs
2025
Fringe Trees for Random Trees With Given Vertex Degrees
Berzunza Ojeda, G., Holmgren, C., & Janson, S. (2025). Fringe Trees for Random Trees With Given Vertex Degrees. Random Structures & Algorithms, 66(4). doi:10.1002/rsa.70001
Branching processes with pairwise interactions
Berzunza Ojeda, G., & Pardo, J. C. (2025). Branching processes with pairwise interactions. Latin American Journal of Probability and Mathematical Statistics, 22(1), 711. doi:10.30757/alea.v22-28
2023
Invariance principle for fragmentation processes derived from conditioned stable Galton–Watson trees
Ojeda, G. B., & Holmgren, C. (2023). Invariance principle for fragmentation processes derived from conditioned stable Galton-Watson trees. Bernoulli, 29(4), 2745-2770. doi:10.3150/22-BEJ1559
2022
Fragmentation Processes Derived from Conditioned Stable Galton-Watson Trees
Berzunza Ojeda, G., & Holmgren, C. (2022). Fragmentation Processes Derived from Conditioned Stable Galton-Watson Trees. Leibniz International Proceedings in Informatics. doi:10.4230/LIPIcs.AofA.2022.3
The fluctuations of the giant cluster for percolation on random split trees
Berzunza Ojeda, G., Cai, X. S., & Holmgren, C. (2022). The fluctuations of the giant cluster for percolation on random split trees. Latin American Journal of Probability and Mathematical Statistics, 19(1), 665. doi:10.30757/alea.v19-26
2021
2020
Branching processes with pairwise interactions
Ojeda, G. B., & Pardo, J. C. (2020). Branching processes with pairwise interactions. Retrieved from http://arxiv.org/abs/2009.11820v4
The distance profile of rooted and unrooted simply generated trees
Berzunza Ojeda, G., & Janson, S. (2022). The distance profile of rooted and unrooted simply generated trees. COMBINATORICS PROBABILITY & COMPUTING, 31(3), 368-410. doi:10.1017/S0963548321000304
Largest Clusters for Supercritical Percolation on Split Trees
Berzunza Ojeda, G. H., & Holmgren, C. (2020). Largest Clusters for Supercritical Percolation on Split Trees. LIPIcs : Leibniz International Proceedings in Informatics. doi:10.4230/LIPIcs.AofA.2020.6
The k-Cut Model in Conditioned Galton-Watson Trees
Berzunza Ojeda, G., Cai, X. S., & Holmgren, C. (2020). The k-Cut Model in Conditioned Galton-Watson Trees. LIPIcs : Leibniz International Proceedings in Informatics. doi:10.4230/LIPIcs.AofA.2020.5
The asymptotic distribution of cluster sizes for supercritical percolation on random split trees
Berzunza, G., & Holmgren, C. (2020). The asymptotic distribution of cluster sizes for supercritical percolation on random split trees. Retrieved from http://arxiv.org/abs/2003.12018v2
2019
The $k$-Cut Model in Deterministic and Random Trees
Berzunza, G., Cai, X. S., & Holmgren, C. (2019). The $k$-cut model in deterministic and random trees. Retrieved from http://arxiv.org/abs/1907.02770v2
The fluctuations of the giant cluster for percolation on random split trees
Berzunza, G., Cai, X. S., & Holmgren, C. (2019). The fluctuations of the giant cluster for percolation on random split trees. Retrieved from http://arxiv.org/abs/1902.08109v6
2018
Trait-dependent branching particle systems with competition and multiple offspring
Berzunza, G., Sturm, A., & Winter, A. (2018). Trait-dependent branching particle systems with competition and multiple offspring. Retrieved from http://arxiv.org/abs/1808.09345v3
The existence of a giant cluster for percolation on large Crump–Mode–Jagers trees
Ojeda, G. B. (2018). The existence of a giant cluster for percolation on large Crump-Mode-Jagers trees. Retrieved from http://arxiv.org/abs/1806.10686v4
2016
Asymptotic behaviour near extinction of continuous-state branching processes
Berzunza, G., & Pardo, J. C. (2016). Asymptotic behaviour near extinction of continuous-state branching processes. Journal of Applied Probability, 53(2), 381-391. doi:10.1017/jpr.2016.7
On scaling limits of multitype Galton-Watson trees with possibly infinite variance
Berzunza, G. (2016). On scaling limits of multitype Galton-Watson trees with possibly infinite variance. Retrieved from http://arxiv.org/abs/1605.04810v2
2015
The cut‐tree of large trees with small heights
Berzunza, G. (2015). The cut-tree of large trees with small heights. Retrieved from http://arxiv.org/abs/1509.01141v2
2014
Yule processes with rare mutation and their applications to percolation on $b$-ary trees
Berzunza, G. (2014). Yule processes with rare mutation and their applications to percolation on b-ary trees. Retrieved from http://arxiv.org/abs/1409.3051v2