Personal profile
Research interests
My research is mostly focused on the study of random trees, and more generally on branching processes, reinforced processes, and Pólya urns. My research is often motivated by application to other scientific areas such as computer science or physics.
For example, since my PhD, I have been interested in applying probabilistic results about random trees to the satsifiability problem. More recently, I have been working on the Bianconi and Barabási model for complex networks and proving results about the size of the largest hub in these networks. Another big part of my current research, since my collaboration with Jean-François Marckert, is about developping the theory of Pólya urns with infinitely-many colours.
Although these interests may seem very diverse, all of them involve the study of random trees such as the random recursive tree, the random binary search tree, and the preferential attachment tree.
Willing to supervise doctoral students
Please contact me for more information about PhD projects.
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Collaborations and top research areas from the last five years
Projects
- 1 Finished
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Fellowship - Random trees: analysis and applications
Mailler, C. (PI)
Engineering and Physical Sciences Research Council
1/06/18 → 31/05/22
Project: Research council
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A random recursive tree model with doubling events
Björnberg, J. E. & Mailler, C., 28 Feb 2026, In: Stochastic Processes and their Applications. 192, 104790.Research output: Contribution to journal › Article › peer-review
Open Access -
A localisation phase transition for the catalytic branching random walk
Mailler, C. & Schapira, B., 26 Oct 2025, (Acceptance date) In: Annals of Applied Probability.Research output: Contribution to journal › Article › peer-review
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A random recursive tree model with doubling events
Björnberg, J. E. & Mailler, C., 9 Oct 2025, (Acceptance date) arXiv.Research output: Working paper / Preprint › Preprint
File3 Downloads (Pure) -
A two-table theorem for a disordered Chinese restaurant process
Björnberg, J., Mailler, C., Mörters, P. & Ueltschi, D., 31 Dec 2024, In: Annals of Applied Probability. 34, 6, p. 5809 - 5841 33 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Link opens in a new tab Citation (SciVal)64 Downloads (Pure) -
Scaling limit of critical random trees in random environment
Conchon-Kerjan, G., Kious, D. & Mailler, C., 22 Sept 2024, In: Electronic Journal of Probability. 29, p. 1-53 54 p., 112.Research output: Contribution to journal › Article › peer-review
Open Access2 Link opens in a new tab Citations (SciVal)