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
Engineering and Physical Sciences Research Council
1/06/18 → 31/05/22
Project: Research council
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Fluctuations of balanced urns with infinitely many colours
Janson, S., Mailler, C. & Villemonais, D., 31 Dec 2023, In: Electronic Journal of Probability. 28, p. 1-72 72 p.Research output: Contribution to journal › Article › peer-review
Open Access -
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 Access -
Dynamical models for random simplicial complexes
Fountoulakis, N., Iyer, T., Mailler, C. & Sulzbach, H., 31 Aug 2022, In: Annals of Applied Probability. 32, 4, p. 2860-2913 54 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (SciVal)17 Downloads (Pure) -
Finding geodesics on graphs using reinforcement learning
Kious, D., Mailler, C. & Schapira, B., 31 Oct 2022, In: Annals of Applied Probability. 32, 5, p. 3889-3929 39 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile13 Downloads (Pure) -
Parameterised branching processes: A functional version of Kesten & Stigum theorem
Mailler, C. & Marckert, J. F., 31 Oct 2022, In: Stochastic Processes and their Applications. 152, p. 339-377 39 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Downloads (Pure)