Welcome

I am a Reader in Probability and a member of the Probability laboratory at Bath in the Department of Mathematical Sciences at the University of Bath.

Publications

Books

Preprints

  1. Emergence of polymorphism in stochastic evolutionary games
    with Bill Nunn and Tim Rogers. Preprint, arXiv:2607.14950, 17 July 2026.
  2. Balancing innovation and assimilation in research communities
    with Bill Nunn, Maria Horner and Tim Rogers. Preprint, arXiv:2607.12920, 16 July 2026.
  3. Can deleterious mutations surf deterministic population waves?
    with João Luiz de Oliveira Madeira and Sarah Penington. Preprint, arXiv:2607.12864, 16 July 2026.
  4. A compact support property for infinite-dimensional SDEs with Hölder continuous coefficients.
    with Thomas Hughes. Preprint, arXiv:2603.294428, 31 Mar 2026.
  5. A functional law of large numbers for a spatial model of Muller’s ratchet.
    with João Luiz de Oliveira Madeira and Sarah Penington. Preprint, arXiv:2603.06478, 17 July 2026.
  6. Existence, uniqueness and moment bounds for a spatial model of Muller’s ratchet.
    with João Luiz de Oliveira Madeira and Sarah Penington. Preprint, arXiv:2603.06468, 09 Mar 2026.
  7. The infinite rate symbiotic branching model: from discrete to continuous space.
    with Matthias Hammer. Preprint arXiv:1508.07826, 2015.

In Press

  1. Cluster sizes in subcritical soft Boolean models.
    with Benedikt Jahnel and Lukas Lüchtrath. To appear in Annals of Applied Probability, arXiv:2404.13730, accepted 9 June 2026.
  2. The contact process with fitness on random trees.
    with Natalia Cardona-Tobón. To appear in Advances in Applied Probability, arXiv:2110.14537, accepted May 2026.
  3. The contact process on dynamical random trees with degree dependence.
    with Natalia Cardona-Tobón, Marco Seiler and Anja Sturm. To appear in Annales de l’Institut Henri Poincaré: Probab. et Stat., accepted Feb 2026.

Publications

  1. The Contact Process on a Graph Adapting to the Infection.
    with John Fernley and Peter Mörters. Stochastic Processes and Applications Volume 183, 104596, May 2025.
  2. The maximal degree in random recursive graphs with random weights.
    with Bas Lodewijks. Annals of Applied Probability, 34(4): 3469-3540, 2024.
  3. Fine asymptotics for the maximum degree in weighted recursive trees with bounded random weights.
    with Laura Eslava and Bas Lodewijks. Stochastic Processes and Applications 158, 505 - 569, 2023.
  4. Voter models on subcritical scale-free random graphs.
    with John Fernley. Random Structures and Algorithms, 62(2), 376 - 429, 2023
  5. The symbiotic branching model: duality and interfaces.
    with Jochen Blath. In “Probabilistic Structures in Evolution” (E. Baake and A. Wakolbinger, eds.), pp. 311-336, EMS Press, Berlin, 2021.
  6. Entrance laws for annihilating Brownian motions and the continuous-space voter model.
    with Matthias Hammer and Florian Völlering.
    Stochastic Processes and their Applications, 34, 240-264, 2021.
  7. A phase transition for preferential attachment models with additive fitness.
    with Bas Lodewijks. Electronic Journal of Probability, 25, Paper No. 146, 2020.
  8. Fluctuations in a general preferential attachment model via Stein’s method.
    with Carina Betken and Hanna Döring. Random Structures & Algorithms, 55(4), 808-830, 2019.
  9. Near critical preferential attachment networks have small giant components.
    with Maren Eckhoff and Peter Mörters. Journal of Statistical Physics, 173(3), 663-703, 2018.
  10. Local neighbourhoods for first-passage percolation on the configuration model.
    with Steffen Dereich. Journal of Statistical Physics, 173(3-4), 485-501, 2018.
  11. A new look at duality for the symbiotic branching model.
    with Matthias Hammer and Florian Völlering. Annals of Probability, 46(5), 2800-2862, 2018.
  12. Scaling limit and ageing for branching random walk in Pareto environment.
    with Matthew I. Roberts. Annales de l’Institut Henri Poincaré: Probab. et Stat. 54(3), 1291-1313, 2018.
  13. One-point localization for branching random walk in Pareto environment.
    with Matthew I. Roberts. Electronic Journal of Probability, 22, paper no. 6, 2017.
  14. Intermittency for branching random walk in Pareto environment
    with Matthew I. Roberts. Annals of Probability, 44(3): 2198-2263, 2016.
  15. The scaling limit of the interface of the continuous-space symbiotic branching model
    with Jochen Blath and Matthias Hammer. Annals of Probability, 44(2): 807-866, 2016.
  16. The largest strongly connected component in the cyclical pedigree model of Wakeley et al.
    with Jochen Blath and Stephan Kadow.
    Theoretical Population Biology, 98: 28-37, 2014. [Prepint@arXiv:1405.7276]
  17. Robust analysis of preferential attachment models with fitness
    with Steffen Dereich. Combinatorics, Probability and Computing, 23 (03): 386-411, 2014.
  18. The near-critical scaling window for directed polymers on disordered trees
    with Tom Alberts. Electronic Journal of Probability, 18, Article 19, 2013.
  19. Moments of recurrence times for Markov chains
    with Frank Aurzada, Hanna Döring, Michael Scheutzow. Electronic Communications in Probability, 16:296-303, 2011.
  20. Ageing in the parabolic Anderson model
    with Peter Mörters, Nadia Sidorova. Annales de l’Institut Henri Poincaré: Probab. et Stat., 47(4): 969-1000, 2011.
    [Preprint@arXiv:0910.5613] [Supplement: Animation of limiting process]
  21. Minimal supporting subtrees for the free energy of polymers on disordered trees
    with Peter Mörters. Journal of Mathematical Physics 49, 2008 (abstract).
  22. Small value probabilities via the branching tree heuristic
    with Peter Mörters. Bernoulli, 14(1): 277-299, 2008.

Translation

PhD Thesis

  • Stochastic processes in random environment
    PhD, University of Bath, 2009.
    PDF

My articles on: arxiv, MathSciNet, Google Scholar, Orcid, University of Bath researchportal.

Research group

Current members:

PhD students Postdocs
  • Vianney Brouard. Oct 2024 - Funded by the EPSRC project “Interplay between geometry and randomness in fitness landscapes for expanding populations” (with CoI Matt Roberts).
Former members

PhD students Postdocs

Events

Current events:

Past events: