Publications

Papers and preprints, newest first. For the questions behind them, see my research page.

1. 2026Growth scales and uniform integrability of branching processes in varying environments
   T. Iyer. Preprint.arXiv
2. 2025Permutations in competing growth processes and balls-in-bins
   J. Bäumler and T. Iyer. Preprint.arXiv
3. 2024Persistent hubs in CMJ branching processes with independent increments and preferential attachment trees
   T. Iyer. Preprint.arXiv
4. 2023On the structure of genealogical trees associated with explosive Crump–Mode–Jagers branching processes
   T. Iyer and B. Lodewijks. Preprint.arXiv

1. 2026A counter-example to persistence in generalised preferential attachment trees
   T. Iyer. Electronic Communications in Probability 31.JournalarXiv
2. 2026Fixation of leadership in non-Markovian growth processes
   T. Iyer. Stochastic Processes and their Applications 199, 104968.arXiv
3. 2026Gelation in cluster coagulation processes
   L. Andreis, T. Iyer and E. Magnanini. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 62(3), 2142–2156.JournalarXiv
4. 2026Convergence of cluster coagulation dynamics
   L. Andreis, T. Iyer and E. Magnanini. Electronic Journal of Probability 31, Paper 87.JournalarXiv
5. 2024On a sufficient condition for explosion in CMJ branching processes and applications to recursive trees
   T. Iyer. Electronic Communications in Probability 29, Paper 46.JournalarXiv
6. 2023Degree distributions in recursive trees with fitnesses
   T. Iyer. Advances in Applied Probability 55(2), 407–443.arXiv
7. 2022Condensation phenomena in preferential attachment trees with neighbourhood influence
   N. Fountoulakis and T. Iyer. Electronic Journal of Probability 27, Paper 76.Journal
8. 2022Dynamical models for random simplicial complexes
   N. Fountoulakis, T. Iyer, C. Mailler and H. Sulzbach. The Annals of Applied Probability 32(4), 2860–2913.arXiv
9. 2020Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence
   M. Isaev, T. Iyer and B. D. McKay. Electronic Journal of Combinatorics 27(1), P1.26.

1. 2021Evolving inhomogeneous random structures
   T. Iyer. PhD thesis, University of Birmingham.
2. 2016Random tournaments
   T. Iyer. Honours thesis, Australian National University.Thesis