Projects per year
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 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 AccessFile12 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 Access1 Citation (SciVal) -
A two-table theorem for a disordered Chinese restaurant process
Björnberg, J. E., Mailler, C., Mörters, P. & Ueltschi, D., 22 Mar 2023.Research output: Working paper / Preprint › Preprint
File28 Downloads (Pure) -
Fluctuations of balanced urns with infinitely many colours
Janson, S., Mailler, C. & Villemonais, D., 31 Dec 2023, In: Electronic Journal of Probability. 28, 72 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Citations (SciVal) -
Large deviations principle for a stochastic process with random reinforced relocations
Boci, E.-S. & Mailler, C., 26 Aug 2023, In: Journal of Statistical Mechanics-Theory and Experiment. 19 p.Research output: Contribution to journal › Article › peer-review
Open Access4 Citations (SciVal)