Research

Below is a list of my preprints and publications. For a more interactive overview of some of of the topics I work on, see the simulations page.

Preprints

Persistent hubs in CMJ branching processes with independent increments and preferential attachment trees. arXiv.2410.24170. (27 pages)

Fixation of leadership in non-Markovian growth processes. arXiv:2408.11516. (25 pages)

Convergence of cluster coagulation dynamics, with Luisa Andreis and Elena Magnanini. arXiv:2308:10232. (27 pages)

On the structure of genealogical trees associated with explosive Crump-Mode-Jagers branching processes, with Bas Lodewijks. arXiv:2311:14664. (50 pages)

Gelation in cluster coagulation processes, with Luisa Andreis and Elena Magnanini. arXiv:2308:10232. (24 pages)

A model for evolving simplicial complexes.

Published Journal Articles

On a sufficient condition for explosion in CMJ branching processes and applications to recursive trees. Electron. Commun. Probab. 29: 1-12 (2024) or arxiv:2312.14147. (12 pages)

Degree distributions in recursive trees with fitnesses. Advances in Applied Probability, 55(2), 407-443. or arXiv:2005.02197. (33 pages)

Condensation phenomena in preferential attachment trees with neighbourhood influence, with Nikolaos Fountoulakis. Electron. J. Probab. 27: 1-49 (2022) or arXiv:2101.0273. (40 pages)

Dynamical models for random simplicial complexes, with Nikolaos Fountoulakis, Cécile Mailler, and Henning Sulzbach. Ann. Appl. Probab. 32(4): 2860-2913 (August 2022) or arXiv:1910:12715. (51 pages)

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence, with Mikhail Isaev, Tejas Iyer, and Brendan D. McKay. Electron. J. Combin., 27(1):Paper 1.26, 2020 or arXiv:1908.01309. (22 pages)

Theses

Evolving Inhomogeneous Random Structures, my PhD thesis, from the University of Birmingham in 2021.

"Random Tournaments", my Honours thesis, from The Australian National University in 2016.

Tournaments on 5 vertices. The right is a strong tournament.

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