Projects per year
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.
Mailler, C., Mörters, P. & Ueltschi, D., 2020, In: Electronic Communications in Probability. 25, 4.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Citations (Scopus)10 Downloads (Pure)
Stochastic approximation on non-compact measure spaces and application to measure-valued Pólya processesMailler, C. & Villemonais, D., 2020, In: Annals of Applied Probability. 30, 5, p. 2393-2438 46 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Citations (Scopus)9 Downloads (Pure)
Mailler, C., Morters, P. & Senkevich, A., 10 Jun 2020, 31st International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020). Drmota, M. & Heuberger, C. (eds.). 21. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 159).
Research output: Chapter in Book/Report/Conference proceeding › Conference contributionOpen Access
Random walks with preferential relocations and fading memory: a study through random recursive trees.Mailler, C. & Uribe Bravo, G., 18 Sep 2019, In: Journal of Statistical Mechanics-Theory and Experiment. 2019, 9, p. 1-50 50 p., 093206.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile3 Citations (Scopus)30 Downloads (Pure)
Smith, C., Mailler, C. & Yates, K., 19 Dec 2019, In: Physical Review E. 100, 6, 063307.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile18 Downloads (Pure)